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Finding the Fourth Proportional to 5,715.29, 8,572.74 and 1,766.41

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Solution

The fourth proportional to 5,715.29, 8,572.74 and 1,766.41 is: 2,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.29 : 8,572.74 = 1,766.41 : x
  2. Step 2: Convert to fraction form
    5,715.29/8,572.74 = 1,766.41/x
  3. Step 3: Cross multiply
    5,715.29x = 8,572.74 × 1,766.41
  4. Step 4: Simplify right side
    5,715.29x = 15,142,945.61
  5. Step 5: Solve for x
    x = 15,142,945.61/5,715.29
  6. Step 6: Final answer
    x = 2,649.55

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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.