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Finding the Fourth Proportional to 5,778.34, 8,667.51 and 2,857.48

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Solution

The fourth proportional to 5,778.34, 8,667.51 and 2,857.48 is: 4,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.34 : 8,667.51 = 2,857.48 : x
  2. Step 2: Convert to fraction form
    5,778.34/8,667.51 = 2,857.48/x
  3. Step 3: Cross multiply
    5,778.34x = 8,667.51 × 2,857.48
  4. Step 4: Simplify right side
    5,778.34x = 24,767,236.47
  5. Step 5: Solve for x
    x = 24,767,236.47/5,778.34
  6. Step 6: Final answer
    x = 4,286.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.