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Finding the Fourth Proportional to 5,959.85, 8,939.84 and 1,577.27

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Solution

The fourth proportional to 5,959.85, 8,939.84 and 1,577.27 is: 2,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.85 : 8,939.84 = 1,577.27 : x
  2. Step 2: Convert to fraction form
    5,959.85/8,939.84 = 1,577.27/x
  3. Step 3: Cross multiply
    5,959.85x = 8,939.84 × 1,577.27
  4. Step 4: Simplify right side
    5,959.85x = 14,100,488.85
  5. Step 5: Solve for x
    x = 14,100,488.85/5,959.85
  6. Step 6: Final answer
    x = 2,365.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.