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Finding the Fourth Proportional to 4,452.97, 6,145.56 and 2,564.62

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Solution

The fourth proportional to 4,452.97, 6,145.56 and 2,564.62 is: 3,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.97 : 6,145.56 = 2,564.62 : x
  2. Step 2: Convert to fraction form
    4,452.97/6,145.56 = 2,564.62/x
  3. Step 3: Cross multiply
    4,452.97x = 6,145.56 × 2,564.62
  4. Step 4: Simplify right side
    4,452.97x = 15,761,026.09
  5. Step 5: Solve for x
    x = 15,761,026.09/4,452.97
  6. Step 6: Final answer
    x = 3,539.44

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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.