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Finding the Fourth Proportional to 5,295.20, 7,937.04 and 3,447.60

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Solution

The fourth proportional to 5,295.20, 7,937.04 and 3,447.60 is: 5,167.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.20 : 7,937.04 = 3,447.60 : x
  2. Step 2: Convert to fraction form
    5,295.20/7,937.04 = 3,447.60/x
  3. Step 3: Cross multiply
    5,295.20x = 7,937.04 × 3,447.60
  4. Step 4: Simplify right side
    5,295.20x = 27,363,739.10
  5. Step 5: Solve for x
    x = 27,363,739.10/5,295.20
  6. Step 6: Final answer
    x = 5,167.65

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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.