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Finding the Fourth Proportional to 4,470.92, 6,169.66 and 2,454.29

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Solution

The fourth proportional to 4,470.92, 6,169.66 and 2,454.29 is: 3,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.92 : 6,169.66 = 2,454.29 : x
  2. Step 2: Convert to fraction form
    4,470.92/6,169.66 = 2,454.29/x
  3. Step 3: Cross multiply
    4,470.92x = 6,169.66 × 2,454.29
  4. Step 4: Simplify right side
    4,470.92x = 15,142,134.84
  5. Step 5: Solve for x
    x = 15,142,134.84/4,470.92
  6. Step 6: Final answer
    x = 3,386.81

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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.