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Finding the Fourth Proportional to 5,715.67, 8,573.45 and 4,337.47

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Solution

The fourth proportional to 5,715.67, 8,573.45 and 4,337.47 is: 6,506.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.67 : 8,573.45 = 4,337.47 : x
  2. Step 2: Convert to fraction form
    5,715.67/8,573.45 = 4,337.47/x
  3. Step 3: Cross multiply
    5,715.67x = 8,573.45 × 4,337.47
  4. Step 4: Simplify right side
    5,715.67x = 37,187,082.17
  5. Step 5: Solve for x
    x = 37,187,082.17/5,715.67
  6. Step 6: Final answer
    x = 6,506.16

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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.