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Finding the Fourth Proportional to 3,957.60, 5,459.18 and 2,560.34

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Solution

The fourth proportional to 3,957.60, 5,459.18 and 2,560.34 is: 3,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.60 : 5,459.18 = 2,560.34 : x
  2. Step 2: Convert to fraction form
    3,957.60/5,459.18 = 2,560.34/x
  3. Step 3: Cross multiply
    3,957.60x = 5,459.18 × 2,560.34
  4. Step 4: Simplify right side
    3,957.60x = 13,977,356.92
  5. Step 5: Solve for x
    x = 13,977,356.92/3,957.60
  6. Step 6: Final answer
    x = 3,531.78

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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.