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Finding the Fourth Proportional to 5,882.86, 8,118.12 and 3,230.20

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Solution

The fourth proportional to 5,882.86, 8,118.12 and 3,230.20 is: 4,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.86 : 8,118.12 = 3,230.20 : x
  2. Step 2: Convert to fraction form
    5,882.86/8,118.12 = 3,230.20/x
  3. Step 3: Cross multiply
    5,882.86x = 8,118.12 × 3,230.20
  4. Step 4: Simplify right side
    5,882.86x = 26,223,151.22
  5. Step 5: Solve for x
    x = 26,223,151.22/5,882.86
  6. Step 6: Final answer
    x = 4,457.55

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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.