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Finding the Fourth Proportional to 6,591.57, 9,881.38 and 2,428.75

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Solution

The fourth proportional to 6,591.57, 9,881.38 and 2,428.75 is: 3,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.57 : 9,881.38 = 2,428.75 : x
  2. Step 2: Convert to fraction form
    6,591.57/9,881.38 = 2,428.75/x
  3. Step 3: Cross multiply
    6,591.57x = 9,881.38 × 2,428.75
  4. Step 4: Simplify right side
    6,591.57x = 23,999,401.68
  5. Step 5: Solve for x
    x = 23,999,401.68/6,591.57
  6. Step 6: Final answer
    x = 3,640.92

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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.