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Finding the Fourth Proportional to 3,642.24, 5,462.68 and 1,044.56

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Solution

The fourth proportional to 3,642.24, 5,462.68 and 1,044.56 is: 1,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.24 : 5,462.68 = 1,044.56 : x
  2. Step 2: Convert to fraction form
    3,642.24/5,462.68 = 1,044.56/x
  3. Step 3: Cross multiply
    3,642.24x = 5,462.68 × 1,044.56
  4. Step 4: Simplify right side
    3,642.24x = 5,706,097.02
  5. Step 5: Solve for x
    x = 5,706,097.02/3,642.24
  6. Step 6: Final answer
    x = 1,566.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.