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Finding the Fourth Proportional to 3,532.07, 5,298.10 and 1,223.57

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Solution

The fourth proportional to 3,532.07, 5,298.10 and 1,223.57 is: 1,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.07 : 5,298.10 = 1,223.57 : x
  2. Step 2: Convert to fraction form
    3,532.07/5,298.10 = 1,223.57/x
  3. Step 3: Cross multiply
    3,532.07x = 5,298.10 × 1,223.57
  4. Step 4: Simplify right side
    3,532.07x = 6,482,569.73
  5. Step 5: Solve for x
    x = 6,482,569.73/3,532.07
  6. Step 6: Final answer
    x = 1,835.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.