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Finding the Fourth Proportional to 3,294.17, 4,938.52 and 1,538.27

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Solution

The fourth proportional to 3,294.17, 4,938.52 and 1,538.27 is: 2,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.17 : 4,938.52 = 1,538.27 : x
  2. Step 2: Convert to fraction form
    3,294.17/4,938.52 = 1,538.27/x
  3. Step 3: Cross multiply
    3,294.17x = 4,938.52 × 1,538.27
  4. Step 4: Simplify right side
    3,294.17x = 7,596,777.16
  5. Step 5: Solve for x
    x = 7,596,777.16/3,294.17
  6. Step 6: Final answer
    x = 2,306.13

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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.