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Finding the Fourth Proportional to 5,779.98, 7,976.36 and 3,127.38

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Solution

The fourth proportional to 5,779.98, 7,976.36 and 3,127.38 is: 4,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.98 : 7,976.36 = 3,127.38 : x
  2. Step 2: Convert to fraction form
    5,779.98/7,976.36 = 3,127.38/x
  3. Step 3: Cross multiply
    5,779.98x = 7,976.36 × 3,127.38
  4. Step 4: Simplify right side
    5,779.98x = 24,945,108.74
  5. Step 5: Solve for x
    x = 24,945,108.74/5,779.98
  6. Step 6: Final answer
    x = 4,315.78

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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.