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Finding the Fourth Proportional to 3,447.60, 4,757.67 and 2,564.70

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Solution

The fourth proportional to 3,447.60, 4,757.67 and 2,564.70 is: 3,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.60 : 4,757.67 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    3,447.60/4,757.67 = 2,564.70/x
  3. Step 3: Cross multiply
    3,447.60x = 4,757.67 × 2,564.70
  4. Step 4: Simplify right side
    3,447.60x = 12,201,996.25
  5. Step 5: Solve for x
    x = 12,201,996.25/3,447.60
  6. Step 6: Final answer
    x = 3,539.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.