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Finding the Fourth Proportional to 3,612.64, 5,407.92 and 2,377.60

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Solution

The fourth proportional to 3,612.64, 5,407.92 and 2,377.60 is: 3,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.64 : 5,407.92 = 2,377.60 : x
  2. Step 2: Convert to fraction form
    3,612.64/5,407.92 = 2,377.60/x
  3. Step 3: Cross multiply
    3,612.64x = 5,407.92 × 2,377.60
  4. Step 4: Simplify right side
    3,612.64x = 12,857,870.59
  5. Step 5: Solve for x
    x = 12,857,870.59/3,612.64
  6. Step 6: Final answer
    x = 3,559.13

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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.