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Finding the Fourth Proportional to 5,292.72, 7,940.52 and 3,102.12

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Solution

The fourth proportional to 5,292.72, 7,940.52 and 3,102.12 is: 4,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,292.72 : 7,940.52 = 3,102.12 : x
  2. Step 2: Convert to fraction form
    5,292.72/7,940.52 = 3,102.12/x
  3. Step 3: Cross multiply
    5,292.72x = 7,940.52 × 3,102.12
  4. Step 4: Simplify right side
    5,292.72x = 24,632,445.90
  5. Step 5: Solve for x
    x = 24,632,445.90/5,292.72
  6. Step 6: Final answer
    x = 4,654.02

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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.