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Finding the Fourth Proportional to 3,686.56, 5,529.72 and 913.24

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Solution

The fourth proportional to 3,686.56, 5,529.72 and 913.24 is: 1,369.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.56 : 5,529.72 = 913.24 : x
  2. Step 2: Convert to fraction form
    3,686.56/5,529.72 = 913.24/x
  3. Step 3: Cross multiply
    3,686.56x = 5,529.72 × 913.24
  4. Step 4: Simplify right side
    3,686.56x = 5,049,961.49
  5. Step 5: Solve for x
    x = 5,049,961.49/3,686.56
  6. Step 6: Final answer
    x = 1,369.83

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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.