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Finding the Fourth Proportional to 5,882.72, 8,117.97 and 3,230.06

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Solution

The fourth proportional to 5,882.72, 8,117.97 and 3,230.06 is: 4,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.72 : 8,117.97 = 3,230.06 : x
  2. Step 2: Convert to fraction form
    5,882.72/8,117.97 = 3,230.06/x
  3. Step 3: Cross multiply
    5,882.72x = 8,117.97 × 3,230.06
  4. Step 4: Simplify right side
    5,882.72x = 26,221,489.59
  5. Step 5: Solve for x
    x = 26,221,489.59/5,882.72
  6. Step 6: Final answer
    x = 4,457.38

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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.