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Finding the Fourth Proportional to 5,775.50, 8,663.24 and 1,392.95

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Solution

The fourth proportional to 5,775.50, 8,663.24 and 1,392.95 is: 2,089.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.50 : 8,663.24 = 1,392.95 : x
  2. Step 2: Convert to fraction form
    5,775.50/8,663.24 = 1,392.95/x
  3. Step 3: Cross multiply
    5,775.50x = 8,663.24 × 1,392.95
  4. Step 4: Simplify right side
    5,775.50x = 12,067,474.85
  5. Step 5: Solve for x
    x = 12,067,474.85/5,775.50
  6. Step 6: Final answer
    x = 2,089.43

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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.