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Finding the Fourth Proportional to 3,959.25, 5,463.87 and 2,564.43

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Solution

The fourth proportional to 3,959.25, 5,463.87 and 2,564.43 is: 3,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.25 : 5,463.87 = 2,564.43 : x
  2. Step 2: Convert to fraction form
    3,959.25/5,463.87 = 2,564.43/x
  3. Step 3: Cross multiply
    3,959.25x = 5,463.87 × 2,564.43
  4. Step 4: Simplify right side
    3,959.25x = 14,011,712.14
  5. Step 5: Solve for x
    x = 14,011,712.14/3,959.25
  6. Step 6: Final answer
    x = 3,538.98

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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.