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Finding the Fourth Proportional to 5,833.26, 8,738.55 and 5,178.78

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Solution

The fourth proportional to 5,833.26, 8,738.55 and 5,178.78 is: 7,758.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.26 : 8,738.55 = 5,178.78 : x
  2. Step 2: Convert to fraction form
    5,833.26/8,738.55 = 5,178.78/x
  3. Step 3: Cross multiply
    5,833.26x = 8,738.55 × 5,178.78
  4. Step 4: Simplify right side
    5,833.26x = 45,255,027.97
  5. Step 5: Solve for x
    x = 45,255,027.97/5,833.26
  6. Step 6: Final answer
    x = 7,758.10

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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.