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Finding the Fourth Proportional to 3,666.71, 5,059.83 and 2,154.04

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Solution

The fourth proportional to 3,666.71, 5,059.83 and 2,154.04 is: 2,972.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.71 : 5,059.83 = 2,154.04 : x
  2. Step 2: Convert to fraction form
    3,666.71/5,059.83 = 2,154.04/x
  3. Step 3: Cross multiply
    3,666.71x = 5,059.83 × 2,154.04
  4. Step 4: Simplify right side
    3,666.71x = 10,899,074.46
  5. Step 5: Solve for x
    x = 10,899,074.46/3,666.71
  6. Step 6: Final answer
    x = 2,972.44

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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.