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Finding the Fourth Proportional to 3,776.80, 5,663.76 and 1,311.52

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Solution

The fourth proportional to 3,776.80, 5,663.76 and 1,311.52 is: 1,966.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.80 : 5,663.76 = 1,311.52 : x
  2. Step 2: Convert to fraction form
    3,776.80/5,663.76 = 1,311.52/x
  3. Step 3: Cross multiply
    3,776.80x = 5,663.76 × 1,311.52
  4. Step 4: Simplify right side
    3,776.80x = 7,428,134.52
  5. Step 5: Solve for x
    x = 7,428,134.52/3,776.80
  6. Step 6: Final answer
    x = 1,966.78

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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.