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Finding the Fourth Proportional to 6,085.74, 8,402.43 and 3,993.42

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Solution

The fourth proportional to 6,085.74, 8,402.43 and 3,993.42 is: 5,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.74 : 8,402.43 = 3,993.42 : x
  2. Step 2: Convert to fraction form
    6,085.74/8,402.43 = 3,993.42/x
  3. Step 3: Cross multiply
    6,085.74x = 8,402.43 × 3,993.42
  4. Step 4: Simplify right side
    6,085.74x = 33,554,432.01
  5. Step 5: Solve for x
    x = 33,554,432.01/6,085.74
  6. Step 6: Final answer
    x = 5,513.62

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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.