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Finding the Fourth Proportional to 2,593.71, 3,894.20 and 2,476.14

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Solution

The fourth proportional to 2,593.71, 3,894.20 and 2,476.14 is: 3,717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.71 : 3,894.20 = 2,476.14 : x
  2. Step 2: Convert to fraction form
    2,593.71/3,894.20 = 2,476.14/x
  3. Step 3: Cross multiply
    2,593.71x = 3,894.20 × 2,476.14
  4. Step 4: Simplify right side
    2,593.71x = 9,642,572.01
  5. Step 5: Solve for x
    x = 9,642,572.01/2,593.71
  6. Step 6: Final answer
    x = 3,717.68

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Why These Related Problems?

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