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Finding the Fourth Proportional to 6,517.59, 8,994.30 and 3,865.17

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Solution

The fourth proportional to 6,517.59, 8,994.30 and 3,865.17 is: 5,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.59 : 8,994.30 = 3,865.17 : x
  2. Step 2: Convert to fraction form
    6,517.59/8,994.30 = 3,865.17/x
  3. Step 3: Cross multiply
    6,517.59x = 8,994.30 × 3,865.17
  4. Step 4: Simplify right side
    6,517.59x = 34,764,498.53
  5. Step 5: Solve for x
    x = 34,764,498.53/6,517.59
  6. Step 6: Final answer
    x = 5,333.95

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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.