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Finding the Fourth Proportional to 5,971.45, 8,951.17 and 2,464.02

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Solution

The fourth proportional to 5,971.45, 8,951.17 and 2,464.02 is: 3,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.45 : 8,951.17 = 2,464.02 : x
  2. Step 2: Convert to fraction form
    5,971.45/8,951.17 = 2,464.02/x
  3. Step 3: Cross multiply
    5,971.45x = 8,951.17 × 2,464.02
  4. Step 4: Simplify right side
    5,971.45x = 22,055,861.90
  5. Step 5: Solve for x
    x = 22,055,861.90/5,971.45
  6. Step 6: Final answer
    x = 3,693.55

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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.