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Finding the Fourth Proportional to 5,882.75, 8,118.41 and 3,230.13

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Solution

The fourth proportional to 5,882.75, 8,118.41 and 3,230.13 is: 4,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.75 : 8,118.41 = 3,230.13 : x
  2. Step 2: Convert to fraction form
    5,882.75/8,118.41 = 3,230.13/x
  3. Step 3: Cross multiply
    5,882.75x = 8,118.41 × 3,230.13
  4. Step 4: Simplify right side
    5,882.75x = 26,223,503.54
  5. Step 5: Solve for x
    x = 26,223,503.54/5,882.75
  6. Step 6: Final answer
    x = 4,457.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.