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Finding the Fourth Proportional to 5,756.86, 7,944 and 3,239.38

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Solution

The fourth proportional to 5,756.86, 7,944 and 3,239.38 is: 4,470.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.86 : 7,944 = 3,239.38 : x
  2. Step 2: Convert to fraction form
    5,756.86/7,944 = 3,239.38/x
  3. Step 3: Cross multiply
    5,756.86x = 7,944 × 3,239.38
  4. Step 4: Simplify right side
    5,756.86x = 25,733,634.72
  5. Step 5: Solve for x
    x = 25,733,634.72/5,756.86
  6. Step 6: Final answer
    x = 4,470.08

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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.