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Finding the Fourth Proportional to 5,780.62, 7,979.07 and 3,656.80

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Solution

The fourth proportional to 5,780.62, 7,979.07 and 3,656.80 is: 5,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.62 : 7,979.07 = 3,656.80 : x
  2. Step 2: Convert to fraction form
    5,780.62/7,979.07 = 3,656.80/x
  3. Step 3: Cross multiply
    5,780.62x = 7,979.07 × 3,656.80
  4. Step 4: Simplify right side
    5,780.62x = 29,177,863.18
  5. Step 5: Solve for x
    x = 29,177,863.18/5,780.62
  6. Step 6: Final answer
    x = 5,047.53

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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.