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Finding the Fourth Proportional to 3,886.84, 5,833.60 and 2,039.24

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Solution

The fourth proportional to 3,886.84, 5,833.60 and 2,039.24 is: 3,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.84 : 5,833.60 = 2,039.24 : x
  2. Step 2: Convert to fraction form
    3,886.84/5,833.60 = 2,039.24/x
  3. Step 3: Cross multiply
    3,886.84x = 5,833.60 × 2,039.24
  4. Step 4: Simplify right side
    3,886.84x = 11,896,110.46
  5. Step 5: Solve for x
    x = 11,896,110.46/3,886.84
  6. Step 6: Final answer
    x = 3,060.61

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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.