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Finding the Fourth Proportional to 5,866, 8,801.16 and 3,092.56

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Solution

The fourth proportional to 5,866, 8,801.16 and 3,092.56 is: 4,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,866 : 8,801.16 = 3,092.56 : x
  2. Step 2: Convert to fraction form
    5,866/8,801.16 = 3,092.56/x
  3. Step 3: Cross multiply
    5,866x = 8,801.16 × 3,092.56
  4. Step 4: Simplify right side
    5,866x = 27,218,115.37
  5. Step 5: Solve for x
    x = 27,218,115.37/5,866
  6. Step 6: Final answer
    x = 4,639.98

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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.