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Finding the Fourth Proportional to 6,517.42, 8,994.24 and 3,684.87

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Solution

The fourth proportional to 6,517.42, 8,994.24 and 3,684.87 is: 5,085.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.42 : 8,994.24 = 3,684.87 : x
  2. Step 2: Convert to fraction form
    6,517.42/8,994.24 = 3,684.87/x
  3. Step 3: Cross multiply
    6,517.42x = 8,994.24 × 3,684.87
  4. Step 4: Simplify right side
    6,517.42x = 33,142,605.15
  5. Step 5: Solve for x
    x = 33,142,605.15/6,517.42
  6. Step 6: Final answer
    x = 5,085.24

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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.