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Finding the Fourth Proportional to 5,666.68, 8,498.60 and 2,382.13

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Solution

The fourth proportional to 5,666.68, 8,498.60 and 2,382.13 is: 3,572.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.68 : 8,498.60 = 2,382.13 : x
  2. Step 2: Convert to fraction form
    5,666.68/8,498.60 = 2,382.13/x
  3. Step 3: Cross multiply
    5,666.68x = 8,498.60 × 2,382.13
  4. Step 4: Simplify right side
    5,666.68x = 20,244,715.61
  5. Step 5: Solve for x
    x = 20,244,715.61/5,666.68
  6. Step 6: Final answer
    x = 3,572.59

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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.