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Finding the Fourth Proportional to 5,874.16, 8,109.90 and 3,517.12

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Solution

The fourth proportional to 5,874.16, 8,109.90 and 3,517.12 is: 4,855.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.16 : 8,109.90 = 3,517.12 : x
  2. Step 2: Convert to fraction form
    5,874.16/8,109.90 = 3,517.12/x
  3. Step 3: Cross multiply
    5,874.16x = 8,109.90 × 3,517.12
  4. Step 4: Simplify right side
    5,874.16x = 28,523,491.49
  5. Step 5: Solve for x
    x = 28,523,491.49/5,874.16
  6. Step 6: Final answer
    x = 4,855.76

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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.