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Finding the Fourth Proportional to 3,957.34, 5,458.84 and 2,560.09

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Solution

The fourth proportional to 3,957.34, 5,458.84 and 2,560.09 is: 3,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.34 : 5,458.84 = 2,560.09 : x
  2. Step 2: Convert to fraction form
    3,957.34/5,458.84 = 2,560.09/x
  3. Step 3: Cross multiply
    3,957.34x = 5,458.84 × 2,560.09
  4. Step 4: Simplify right side
    3,957.34x = 13,975,121.70
  5. Step 5: Solve for x
    x = 13,975,121.70/3,957.34
  6. Step 6: Final answer
    x = 3,531.44

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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.