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Finding the Fourth Proportional to 5,760.50, 8,642.79 and 2,840.87

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Solution

The fourth proportional to 5,760.50, 8,642.79 and 2,840.87 is: 4,262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.50 : 8,642.79 = 2,840.87 : x
  2. Step 2: Convert to fraction form
    5,760.50/8,642.79 = 2,840.87/x
  3. Step 3: Cross multiply
    5,760.50x = 8,642.79 × 2,840.87
  4. Step 4: Simplify right side
    5,760.50x = 24,553,042.83
  5. Step 5: Solve for x
    x = 24,553,042.83/5,760.50
  6. Step 6: Final answer
    x = 4,262.31

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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.