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Finding the Fourth Proportional to 5,957.38, 8,219.32 and 3,439.16

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Solution

The fourth proportional to 5,957.38, 8,219.32 and 3,439.16 is: 4,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.38 : 8,219.32 = 3,439.16 : x
  2. Step 2: Convert to fraction form
    5,957.38/8,219.32 = 3,439.16/x
  3. Step 3: Cross multiply
    5,957.38x = 8,219.32 × 3,439.16
  4. Step 4: Simplify right side
    5,957.38x = 28,267,556.57
  5. Step 5: Solve for x
    x = 28,267,556.57/5,957.38
  6. Step 6: Final answer
    x = 4,744.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.