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Finding the Fourth Proportional to 4,287.13, 5,916.14 and 2,398.71

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Solution

The fourth proportional to 4,287.13, 5,916.14 and 2,398.71 is: 3,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.13 : 5,916.14 = 2,398.71 : x
  2. Step 2: Convert to fraction form
    4,287.13/5,916.14 = 2,398.71/x
  3. Step 3: Cross multiply
    4,287.13x = 5,916.14 × 2,398.71
  4. Step 4: Simplify right side
    4,287.13x = 14,191,123.37
  5. Step 5: Solve for x
    x = 14,191,123.37/4,287.13
  6. Step 6: Final answer
    x = 3,310.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.