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Finding the Fourth Proportional to 3,651.31, 5,474.53 and 1,776.70

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Solution

The fourth proportional to 3,651.31, 5,474.53 and 1,776.70 is: 2,663.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.31 : 5,474.53 = 1,776.70 : x
  2. Step 2: Convert to fraction form
    3,651.31/5,474.53 = 1,776.70/x
  3. Step 3: Cross multiply
    3,651.31x = 5,474.53 × 1,776.70
  4. Step 4: Simplify right side
    3,651.31x = 9,726,597.45
  5. Step 5: Solve for x
    x = 9,726,597.45/3,651.31
  6. Step 6: Final answer
    x = 2,663.87

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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.