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Finding the Fourth Proportional to 4,149.89, 5,724.33 and 2,470.18

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Solution

The fourth proportional to 4,149.89, 5,724.33 and 2,470.18 is: 3,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.89 : 5,724.33 = 2,470.18 : x
  2. Step 2: Convert to fraction form
    4,149.89/5,724.33 = 2,470.18/x
  3. Step 3: Cross multiply
    4,149.89x = 5,724.33 × 2,470.18
  4. Step 4: Simplify right side
    4,149.89x = 14,140,096.86
  5. Step 5: Solve for x
    x = 14,140,096.86/4,149.89
  6. Step 6: Final answer
    x = 3,407.34

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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.