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Finding the Fourth Proportional to 4,641.90, 6,405.78 and 2,517.44

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Solution

The fourth proportional to 4,641.90, 6,405.78 and 2,517.44 is: 3,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.90 : 6,405.78 = 2,517.44 : x
  2. Step 2: Convert to fraction form
    4,641.90/6,405.78 = 2,517.44/x
  3. Step 3: Cross multiply
    4,641.90x = 6,405.78 × 2,517.44
  4. Step 4: Simplify right side
    4,641.90x = 16,126,166.80
  5. Step 5: Solve for x
    x = 16,126,166.80/4,641.90
  6. Step 6: Final answer
    x = 3,474.04

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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.