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Finding the Fourth Proportional to 5,780.39, 7,976.88 and 3,127.83

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Solution

The fourth proportional to 5,780.39, 7,976.88 and 3,127.83 is: 4,316.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.39 : 7,976.88 = 3,127.83 : x
  2. Step 2: Convert to fraction form
    5,780.39/7,976.88 = 3,127.83/x
  3. Step 3: Cross multiply
    5,780.39x = 7,976.88 × 3,127.83
  4. Step 4: Simplify right side
    5,780.39x = 24,950,324.57
  5. Step 5: Solve for x
    x = 24,950,324.57/5,780.39
  6. Step 6: Final answer
    x = 4,316.38

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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.