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Finding the Fourth Proportional to 5,976.14, 8,248.02 and 5,781.89

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Solution

The fourth proportional to 5,976.14, 8,248.02 and 5,781.89 is: 7,979.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.14 : 8,248.02 = 5,781.89 : x
  2. Step 2: Convert to fraction form
    5,976.14/8,248.02 = 5,781.89/x
  3. Step 3: Cross multiply
    5,976.14x = 8,248.02 × 5,781.89
  4. Step 4: Simplify right side
    5,976.14x = 47,689,144.36
  5. Step 5: Solve for x
    x = 47,689,144.36/5,976.14
  6. Step 6: Final answer
    x = 7,979.92

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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.