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Finding the Fourth Proportional to 5,868.24, 8,098.94 and 3,778.44

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Solution

The fourth proportional to 5,868.24, 8,098.94 and 3,778.44 is: 5,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,868.24 : 8,098.94 = 3,778.44 : x
  2. Step 2: Convert to fraction form
    5,868.24/8,098.94 = 3,778.44/x
  3. Step 3: Cross multiply
    5,868.24x = 8,098.94 × 3,778.44
  4. Step 4: Simplify right side
    5,868.24x = 30,601,358.85
  5. Step 5: Solve for x
    x = 30,601,358.85/5,868.24
  6. Step 6: Final answer
    x = 5,214.74

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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.