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Finding the Fourth Proportional to 3,686.56, 5,524.48 and 2,366.17

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Solution

The fourth proportional to 3,686.56, 5,524.48 and 2,366.17 is: 3,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.56 : 5,524.48 = 2,366.17 : x
  2. Step 2: Convert to fraction form
    3,686.56/5,524.48 = 2,366.17/x
  3. Step 3: Cross multiply
    3,686.56x = 5,524.48 × 2,366.17
  4. Step 4: Simplify right side
    3,686.56x = 13,071,858.84
  5. Step 5: Solve for x
    x = 13,071,858.84/3,686.56
  6. Step 6: Final answer
    x = 3,545.81

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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.