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Finding the Fourth Proportional to 4,442.34, 6,663.50 and 4,171.69

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Solution

The fourth proportional to 4,442.34, 6,663.50 and 4,171.69 is: 6,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,442.34 : 6,663.50 = 4,171.69 : x
  2. Step 2: Convert to fraction form
    4,442.34/6,663.50 = 4,171.69/x
  3. Step 3: Cross multiply
    4,442.34x = 6,663.50 × 4,171.69
  4. Step 4: Simplify right side
    4,442.34x = 27,798,056.32
  5. Step 5: Solve for x
    x = 27,798,056.32/4,442.34
  6. Step 6: Final answer
    x = 6,257.53

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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.