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Finding the Fourth Proportional to 5,802.38, 8,007.29 and 3,149.79

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Solution

The fourth proportional to 5,802.38, 8,007.29 and 3,149.79 is: 4,346.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.38 : 8,007.29 = 3,149.79 : x
  2. Step 2: Convert to fraction form
    5,802.38/8,007.29 = 3,149.79/x
  3. Step 3: Cross multiply
    5,802.38x = 8,007.29 × 3,149.79
  4. Step 4: Simplify right side
    5,802.38x = 25,221,226.18
  5. Step 5: Solve for x
    x = 25,221,226.18/5,802.38
  6. Step 6: Final answer
    x = 4,346.71

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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.