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Finding the Fourth Proportional to 5,624.52, 7,760.25 and 3,385.68

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Solution

The fourth proportional to 5,624.52, 7,760.25 and 3,385.68 is: 4,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.52 : 7,760.25 = 3,385.68 : x
  2. Step 2: Convert to fraction form
    5,624.52/7,760.25 = 3,385.68/x
  3. Step 3: Cross multiply
    5,624.52x = 7,760.25 × 3,385.68
  4. Step 4: Simplify right side
    5,624.52x = 26,273,723.22
  5. Step 5: Solve for x
    x = 26,273,723.22/5,624.52
  6. Step 6: Final answer
    x = 4,671.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.