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Finding the Fourth Proportional to 3,761.47, 5,641.53 and 2,202.22

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Solution

The fourth proportional to 3,761.47, 5,641.53 and 2,202.22 is: 3,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.47 : 5,641.53 = 2,202.22 : x
  2. Step 2: Convert to fraction form
    3,761.47/5,641.53 = 2,202.22/x
  3. Step 3: Cross multiply
    3,761.47x = 5,641.53 × 2,202.22
  4. Step 4: Simplify right side
    3,761.47x = 12,423,890.20
  5. Step 5: Solve for x
    x = 12,423,890.20/3,761.47
  6. Step 6: Final answer
    x = 3,302.93

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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.