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Finding the Fourth Proportional to 5,778.95, 7,974.95 and 3,126.36

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Solution

The fourth proportional to 5,778.95, 7,974.95 and 3,126.36 is: 4,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.95 : 7,974.95 = 3,126.36 : x
  2. Step 2: Convert to fraction form
    5,778.95/7,974.95 = 3,126.36/x
  3. Step 3: Cross multiply
    5,778.95x = 7,974.95 × 3,126.36
  4. Step 4: Simplify right side
    5,778.95x = 24,932,564.68
  5. Step 5: Solve for x
    x = 24,932,564.68/5,778.95
  6. Step 6: Final answer
    x = 4,314.38

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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.