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Finding the Fourth Proportional to 5,723.13, 7,898.03 and 3,239.13

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Solution

The fourth proportional to 5,723.13, 7,898.03 and 3,239.13 is: 4,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.13 : 7,898.03 = 3,239.13 : x
  2. Step 2: Convert to fraction form
    5,723.13/7,898.03 = 3,239.13/x
  3. Step 3: Cross multiply
    5,723.13x = 7,898.03 × 3,239.13
  4. Step 4: Simplify right side
    5,723.13x = 25,582,745.91
  5. Step 5: Solve for x
    x = 25,582,745.91/5,723.13
  6. Step 6: Final answer
    x = 4,470.06

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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.