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Finding the Fourth Proportional to 4,057.62, 5,600.31 and 2,564.79

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Solution

The fourth proportional to 4,057.62, 5,600.31 and 2,564.79 is: 3,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.62 : 5,600.31 = 2,564.79 : x
  2. Step 2: Convert to fraction form
    4,057.62/5,600.31 = 2,564.79/x
  3. Step 3: Cross multiply
    4,057.62x = 5,600.31 × 2,564.79
  4. Step 4: Simplify right side
    4,057.62x = 14,363,619.08
  5. Step 5: Solve for x
    x = 14,363,619.08/4,057.62
  6. Step 6: Final answer
    x = 3,539.91

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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.