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Finding the Fourth Proportional to 4,752.08, 7,132.22 and 4,198.49

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Solution

The fourth proportional to 4,752.08, 7,132.22 and 4,198.49 is: 6,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.08 : 7,132.22 = 4,198.49 : x
  2. Step 2: Convert to fraction form
    4,752.08/7,132.22 = 4,198.49/x
  3. Step 3: Cross multiply
    4,752.08x = 7,132.22 × 4,198.49
  4. Step 4: Simplify right side
    4,752.08x = 29,944,497.69
  5. Step 5: Solve for x
    x = 29,944,497.69/4,752.08
  6. Step 6: Final answer
    x = 6,301.35

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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.