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Finding the Fourth Proportional to 5,878.56, 8,794.80 and 4,238.24

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Solution

The fourth proportional to 5,878.56, 8,794.80 and 4,238.24 is: 6,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.56 : 8,794.80 = 4,238.24 : x
  2. Step 2: Convert to fraction form
    5,878.56/8,794.80 = 4,238.24/x
  3. Step 3: Cross multiply
    5,878.56x = 8,794.80 × 4,238.24
  4. Step 4: Simplify right side
    5,878.56x = 37,274,473.15
  5. Step 5: Solve for x
    x = 37,274,473.15/5,878.56
  6. Step 6: Final answer
    x = 6,340.75

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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.