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Finding the Fourth Proportional to 5,753.12, 7,930.16 and 4,353.44

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Solution

The fourth proportional to 5,753.12, 7,930.16 and 4,353.44 is: 6,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.12 : 7,930.16 = 4,353.44 : x
  2. Step 2: Convert to fraction form
    5,753.12/7,930.16 = 4,353.44/x
  3. Step 3: Cross multiply
    5,753.12x = 7,930.16 × 4,353.44
  4. Step 4: Simplify right side
    5,753.12x = 34,523,475.75
  5. Step 5: Solve for x
    x = 34,523,475.75/5,753.12
  6. Step 6: Final answer
    x = 6,000.83

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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.