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Finding the Fourth Proportional to 3,614.71, 5,391.57 and 3,296.38

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Solution

The fourth proportional to 3,614.71, 5,391.57 and 3,296.38 is: 4,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.71 : 5,391.57 = 3,296.38 : x
  2. Step 2: Convert to fraction form
    3,614.71/5,391.57 = 3,296.38/x
  3. Step 3: Cross multiply
    3,614.71x = 5,391.57 × 3,296.38
  4. Step 4: Simplify right side
    3,614.71x = 17,772,663.24
  5. Step 5: Solve for x
    x = 17,772,663.24/3,614.71
  6. Step 6: Final answer
    x = 4,916.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.