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Finding the Fourth Proportional to 3,749.38, 5,623 and 1,116.79

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Solution

The fourth proportional to 3,749.38, 5,623 and 1,116.79 is: 1,674.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.38 : 5,623 = 1,116.79 : x
  2. Step 2: Convert to fraction form
    3,749.38/5,623 = 1,116.79/x
  3. Step 3: Cross multiply
    3,749.38x = 5,623 × 1,116.79
  4. Step 4: Simplify right side
    3,749.38x = 6,279,710.17
  5. Step 5: Solve for x
    x = 6,279,710.17/3,749.38
  6. Step 6: Final answer
    x = 1,674.87

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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.