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Finding the Fourth Proportional to 3,497.74, 5,246.10 and 1,032.44

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Solution

The fourth proportional to 3,497.74, 5,246.10 and 1,032.44 is: 1,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.74 : 5,246.10 = 1,032.44 : x
  2. Step 2: Convert to fraction form
    3,497.74/5,246.10 = 1,032.44/x
  3. Step 3: Cross multiply
    3,497.74x = 5,246.10 × 1,032.44
  4. Step 4: Simplify right side
    3,497.74x = 5,416,257.25
  5. Step 5: Solve for x
    x = 5,416,257.25/3,497.74
  6. Step 6: Final answer
    x = 1,548.50

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Double scale
Find fourth proportional to 3,498.74, 5,247.60 and 1,033.44
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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.