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Finding the Fourth Proportional to 4,337.60, 6,512.40 and 2,787.20

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Solution

The fourth proportional to 4,337.60, 6,512.40 and 2,787.20 is: 4,184.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.60 : 6,512.40 = 2,787.20 : x
  2. Step 2: Convert to fraction form
    4,337.60/6,512.40 = 2,787.20/x
  3. Step 3: Cross multiply
    4,337.60x = 6,512.40 × 2,787.20
  4. Step 4: Simplify right side
    4,337.60x = 18,151,361.28
  5. Step 5: Solve for x
    x = 18,151,361.28/4,337.60
  6. Step 6: Final answer
    x = 4,184.66

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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.