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Finding the Fourth Proportional to 5,257.60, 7,887.26 and 1,747.64

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Solution

The fourth proportional to 5,257.60, 7,887.26 and 1,747.64 is: 2,621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.60 : 7,887.26 = 1,747.64 : x
  2. Step 2: Convert to fraction form
    5,257.60/7,887.26 = 1,747.64/x
  3. Step 3: Cross multiply
    5,257.60x = 7,887.26 × 1,747.64
  4. Step 4: Simplify right side
    5,257.60x = 13,784,115.15
  5. Step 5: Solve for x
    x = 13,784,115.15/5,257.60
  6. Step 6: Final answer
    x = 2,621.75

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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.