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Finding the Fourth Proportional to 4,442.47, 6,663.69 and 4,171.82

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Solution

The fourth proportional to 4,442.47, 6,663.69 and 4,171.82 is: 6,257.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.47 : 6,663.69 = 4,171.82 : x
  2. Step 2: Convert to fraction form
    4,442.47/6,663.69 = 4,171.82/x
  3. Step 3: Cross multiply
    4,442.47x = 6,663.69 × 4,171.82
  4. Step 4: Simplify right side
    4,442.47x = 27,799,681.90
  5. Step 5: Solve for x
    x = 27,799,681.90/4,442.47
  6. Step 6: Final answer
    x = 6,257.71

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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.