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Finding the Fourth Proportional to 3,745.71, 5,616.83 and 2,186.17

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Solution

The fourth proportional to 3,745.71, 5,616.83 and 2,186.17 is: 3,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.71 : 5,616.83 = 2,186.17 : x
  2. Step 2: Convert to fraction form
    3,745.71/5,616.83 = 2,186.17/x
  3. Step 3: Cross multiply
    3,745.71x = 5,616.83 × 2,186.17
  4. Step 4: Simplify right side
    3,745.71x = 12,279,345.24
  5. Step 5: Solve for x
    x = 12,279,345.24/3,745.71
  6. Step 6: Final answer
    x = 3,278.24

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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.