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Finding the Fourth Proportional to 6,073.69, 8,381.82 and 3,683.74

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Solution

The fourth proportional to 6,073.69, 8,381.82 and 3,683.74 is: 5,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.69 : 8,381.82 = 3,683.74 : x
  2. Step 2: Convert to fraction form
    6,073.69/8,381.82 = 3,683.74/x
  3. Step 3: Cross multiply
    6,073.69x = 8,381.82 × 3,683.74
  4. Step 4: Simplify right side
    6,073.69x = 30,876,445.61
  5. Step 5: Solve for x
    x = 30,876,445.61/6,073.69
  6. Step 6: Final answer
    x = 5,083.64

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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.