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Finding the Fourth Proportional to 5,874.57, 8,102.19 and 5,164.90

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Solution

The fourth proportional to 5,874.57, 8,102.19 and 5,164.90 is: 7,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.57 : 8,102.19 = 5,164.90 : x
  2. Step 2: Convert to fraction form
    5,874.57/8,102.19 = 5,164.90/x
  3. Step 3: Cross multiply
    5,874.57x = 8,102.19 × 5,164.90
  4. Step 4: Simplify right side
    5,874.57x = 41,847,001.13
  5. Step 5: Solve for x
    x = 41,847,001.13/5,874.57
  6. Step 6: Final answer
    x = 7,123.42

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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.