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Finding the Fourth Proportional to 5,683.92, 7,838.67 and 4,473.12

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Solution

The fourth proportional to 5,683.92, 7,838.67 and 4,473.12 is: 6,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.92 : 7,838.67 = 4,473.12 : x
  2. Step 2: Convert to fraction form
    5,683.92/7,838.67 = 4,473.12/x
  3. Step 3: Cross multiply
    5,683.92x = 7,838.67 × 4,473.12
  4. Step 4: Simplify right side
    5,683.92x = 35,063,357.72
  5. Step 5: Solve for x
    x = 35,063,357.72/5,683.92
  6. Step 6: Final answer
    x = 6,168.87

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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.