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Finding the Fourth Proportional to 4,753.10, 7,129.65 and 3,197.90

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Solution

The fourth proportional to 4,753.10, 7,129.65 and 3,197.90 is: 4,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,753.10 : 7,129.65 = 3,197.90 : x
  2. Step 2: Convert to fraction form
    4,753.10/7,129.65 = 3,197.90/x
  3. Step 3: Cross multiply
    4,753.10x = 7,129.65 × 3,197.90
  4. Step 4: Simplify right side
    4,753.10x = 22,799,907.74
  5. Step 5: Solve for x
    x = 22,799,907.74/4,753.10
  6. Step 6: Final answer
    x = 4,796.85

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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.