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Finding the Fourth Proportional to 5,752.02, 8,627.54 and 1,591.71

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Solution

The fourth proportional to 5,752.02, 8,627.54 and 1,591.71 is: 2,387.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.02 : 8,627.54 = 1,591.71 : x
  2. Step 2: Convert to fraction form
    5,752.02/8,627.54 = 1,591.71/x
  3. Step 3: Cross multiply
    5,752.02x = 8,627.54 × 1,591.71
  4. Step 4: Simplify right side
    5,752.02x = 13,732,533.73
  5. Step 5: Solve for x
    x = 13,732,533.73/5,752.02
  6. Step 6: Final answer
    x = 2,387.43

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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.