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Finding the Fourth Proportional to 6,286.61, 8,675.52 and 3,454.16

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Solution

The fourth proportional to 6,286.61, 8,675.52 and 3,454.16 is: 4,766.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.61 : 8,675.52 = 3,454.16 : x
  2. Step 2: Convert to fraction form
    6,286.61/8,675.52 = 3,454.16/x
  3. Step 3: Cross multiply
    6,286.61x = 8,675.52 × 3,454.16
  4. Step 4: Simplify right side
    6,286.61x = 29,966,625.53
  5. Step 5: Solve for x
    x = 29,966,625.53/6,286.61
  6. Step 6: Final answer
    x = 4,766.74

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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.