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Finding the Fourth Proportional to 5,767.50, 8,649.65 and 2,256.79

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Solution

The fourth proportional to 5,767.50, 8,649.65 and 2,256.79 is: 3,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.50 : 8,649.65 = 2,256.79 : x
  2. Step 2: Convert to fraction form
    5,767.50/8,649.65 = 2,256.79/x
  3. Step 3: Cross multiply
    5,767.50x = 8,649.65 × 2,256.79
  4. Step 4: Simplify right side
    5,767.50x = 19,520,443.62
  5. Step 5: Solve for x
    x = 19,520,443.62/5,767.50
  6. Step 6: Final answer
    x = 3,384.56

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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.