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Finding the Fourth Proportional to 3,866.24, 5,336.28 and 2,188.61

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Solution

The fourth proportional to 3,866.24, 5,336.28 and 2,188.61 is: 3,020.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.24 : 5,336.28 = 2,188.61 : x
  2. Step 2: Convert to fraction form
    3,866.24/5,336.28 = 2,188.61/x
  3. Step 3: Cross multiply
    3,866.24x = 5,336.28 × 2,188.61
  4. Step 4: Simplify right side
    3,866.24x = 11,679,035.77
  5. Step 5: Solve for x
    x = 11,679,035.77/3,866.24
  6. Step 6: Final answer
    x = 3,020.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.