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Finding the Fourth Proportional to 3,686.10, 5,529 and 912.78

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Solution

The fourth proportional to 3,686.10, 5,529 and 912.78 is: 1,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.10 : 5,529 = 912.78 : x
  2. Step 2: Convert to fraction form
    3,686.10/5,529 = 912.78/x
  3. Step 3: Cross multiply
    3,686.10x = 5,529 × 912.78
  4. Step 4: Simplify right side
    3,686.10x = 5,046,760.62
  5. Step 5: Solve for x
    x = 5,046,760.62/3,686.10
  6. Step 6: Final answer
    x = 1,369.13

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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.