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Finding the Fourth Proportional to 3,472.47, 5,211.45 and 1,526.04

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Solution

The fourth proportional to 3,472.47, 5,211.45 and 1,526.04 is: 2,290.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.47 : 5,211.45 = 1,526.04 : x
  2. Step 2: Convert to fraction form
    3,472.47/5,211.45 = 1,526.04/x
  3. Step 3: Cross multiply
    3,472.47x = 5,211.45 × 1,526.04
  4. Step 4: Simplify right side
    3,472.47x = 7,952,881.16
  5. Step 5: Solve for x
    x = 7,952,881.16/3,472.47
  6. Step 6: Final answer
    x = 2,290.27

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