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Finding the Fourth Proportional to 3,732.69, 5,148.48 and 3,234.45

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Solution

The fourth proportional to 3,732.69, 5,148.48 and 3,234.45 is: 4,461.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.69 : 5,148.48 = 3,234.45 : x
  2. Step 2: Convert to fraction form
    3,732.69/5,148.48 = 3,234.45/x
  3. Step 3: Cross multiply
    3,732.69x = 5,148.48 × 3,234.45
  4. Step 4: Simplify right side
    3,732.69x = 16,652,501.14
  5. Step 5: Solve for x
    x = 16,652,501.14/3,732.69
  6. Step 6: Final answer
    x = 4,461.26

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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.