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Finding the Fourth Proportional to 6,257.52, 8,639.06 and 3,902.85

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Solution

The fourth proportional to 6,257.52, 8,639.06 and 3,902.85 is: 5,388.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.52 : 8,639.06 = 3,902.85 : x
  2. Step 2: Convert to fraction form
    6,257.52/8,639.06 = 3,902.85/x
  3. Step 3: Cross multiply
    6,257.52x = 8,639.06 × 3,902.85
  4. Step 4: Simplify right side
    6,257.52x = 33,716,935.81
  5. Step 5: Solve for x
    x = 33,716,935.81/6,257.52
  6. Step 6: Final answer
    x = 5,388.23

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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.