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Finding the Fourth Proportional to 5,775.97, 7,970.84 and 3,123.38

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Solution

The fourth proportional to 5,775.97, 7,970.84 and 3,123.38 is: 4,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.97 : 7,970.84 = 3,123.38 : x
  2. Step 2: Convert to fraction form
    5,775.97/7,970.84 = 3,123.38/x
  3. Step 3: Cross multiply
    5,775.97x = 7,970.84 × 3,123.38
  4. Step 4: Simplify right side
    5,775.97x = 24,895,962.24
  5. Step 5: Solve for x
    x = 24,895,962.24/5,775.97
  6. Step 6: Final answer
    x = 4,310.27

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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.