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Finding the Fourth Proportional to 5,744.48, 8,599.71 and 3,546.14

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Solution

The fourth proportional to 5,744.48, 8,599.71 and 3,546.14 is: 5,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.48 : 8,599.71 = 3,546.14 : x
  2. Step 2: Convert to fraction form
    5,744.48/8,599.71 = 3,546.14/x
  3. Step 3: Cross multiply
    5,744.48x = 8,599.71 × 3,546.14
  4. Step 4: Simplify right side
    5,744.48x = 30,495,775.62
  5. Step 5: Solve for x
    x = 30,495,775.62/5,744.48
  6. Step 6: Final answer
    x = 5,308.71

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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.