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Finding the Fourth Proportional to 3,483.74, 5,223.96 and 1,292.28

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Solution

The fourth proportional to 3,483.74, 5,223.96 and 1,292.28 is: 1,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,483.74 : 5,223.96 = 1,292.28 : x
  2. Step 2: Convert to fraction form
    3,483.74/5,223.96 = 1,292.28/x
  3. Step 3: Cross multiply
    3,483.74x = 5,223.96 × 1,292.28
  4. Step 4: Simplify right side
    3,483.74x = 6,750,819.03
  5. Step 5: Solve for x
    x = 6,750,819.03/3,483.74
  6. Step 6: Final answer
    x = 1,937.81

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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.