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Finding the Fourth Proportional to 3,537.92, 5,306.90 and 1,072.76

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Solution

The fourth proportional to 3,537.92, 5,306.90 and 1,072.76 is: 1,609.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,537.92 : 5,306.90 = 1,072.76 : x
  2. Step 2: Convert to fraction form
    3,537.92/5,306.90 = 1,072.76/x
  3. Step 3: Cross multiply
    3,537.92x = 5,306.90 × 1,072.76
  4. Step 4: Simplify right side
    3,537.92x = 5,693,040.63
  5. Step 5: Solve for x
    x = 5,693,040.63/3,537.92
  6. Step 6: Final answer
    x = 1,609.15

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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.