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Finding the Fourth Proportional to 5,748.62, 7,935.42 and 3,861.31

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Solution

The fourth proportional to 5,748.62, 7,935.42 and 3,861.31 is: 5,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.62 : 7,935.42 = 3,861.31 : x
  2. Step 2: Convert to fraction form
    5,748.62/7,935.42 = 3,861.31/x
  3. Step 3: Cross multiply
    5,748.62x = 7,935.42 × 3,861.31
  4. Step 4: Simplify right side
    5,748.62x = 30,641,057.62
  5. Step 5: Solve for x
    x = 30,641,057.62/5,748.62
  6. Step 6: Final answer
    x = 5,330.16

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1.5x scale

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.