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Finding the Fourth Proportional to 3,257.68, 4,877.88 and 2,560.72

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Solution

The fourth proportional to 3,257.68, 4,877.88 and 2,560.72 is: 3,834.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.68 : 4,877.88 = 2,560.72 : x
  2. Step 2: Convert to fraction form
    3,257.68/4,877.88 = 2,560.72/x
  3. Step 3: Cross multiply
    3,257.68x = 4,877.88 × 2,560.72
  4. Step 4: Simplify right side
    3,257.68x = 12,490,884.87
  5. Step 5: Solve for x
    x = 12,490,884.87/3,257.68
  6. Step 6: Final answer
    x = 3,834.29

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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.