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Finding the Fourth Proportional to 4,253.32, 6,380.46 and 1,787.68

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Solution

The fourth proportional to 4,253.32, 6,380.46 and 1,787.68 is: 2,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.32 : 6,380.46 = 1,787.68 : x
  2. Step 2: Convert to fraction form
    4,253.32/6,380.46 = 1,787.68/x
  3. Step 3: Cross multiply
    4,253.32x = 6,380.46 × 1,787.68
  4. Step 4: Simplify right side
    4,253.32x = 11,406,220.73
  5. Step 5: Solve for x
    x = 11,406,220.73/4,253.32
  6. Step 6: Final answer
    x = 2,681.72

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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.