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Finding the Fourth Proportional to 3,467.92, 4,778.82 and 2,470.36

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Solution

The fourth proportional to 3,467.92, 4,778.82 and 2,470.36 is: 3,404.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.92 : 4,778.82 = 2,470.36 : x
  2. Step 2: Convert to fraction form
    3,467.92/4,778.82 = 2,470.36/x
  3. Step 3: Cross multiply
    3,467.92x = 4,778.82 × 2,470.36
  4. Step 4: Simplify right side
    3,467.92x = 11,805,405.78
  5. Step 5: Solve for x
    x = 11,805,405.78/3,467.92
  6. Step 6: Final answer
    x = 3,404.17

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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.