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Finding the Fourth Proportional to 5,931.99, 8,185.89 and 3,414.18

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Solution

The fourth proportional to 5,931.99, 8,185.89 and 3,414.18 is: 4,711.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.99 : 8,185.89 = 3,414.18 : x
  2. Step 2: Convert to fraction form
    5,931.99/8,185.89 = 3,414.18/x
  3. Step 3: Cross multiply
    5,931.99x = 8,185.89 × 3,414.18
  4. Step 4: Simplify right side
    5,931.99x = 27,948,101.92
  5. Step 5: Solve for x
    x = 27,948,101.92/5,931.99
  6. Step 6: Final answer
    x = 4,711.42

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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.