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Finding the Fourth Proportional to 5,778.56, 7,971.84 and 3,681.92

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Solution

The fourth proportional to 5,778.56, 7,971.84 and 3,681.92 is: 5,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.56 : 7,971.84 = 3,681.92 : x
  2. Step 2: Convert to fraction form
    5,778.56/7,971.84 = 3,681.92/x
  3. Step 3: Cross multiply
    5,778.56x = 7,971.84 × 3,681.92
  4. Step 4: Simplify right side
    5,778.56x = 29,351,677.13
  5. Step 5: Solve for x
    x = 29,351,677.13/5,778.56
  6. Step 6: Final answer
    x = 5,079.41

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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.