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Finding the Fourth Proportional to 5,950.48, 8,912.76 and 2,866

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Solution

The fourth proportional to 5,950.48, 8,912.76 and 2,866 is: 4,292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.48 : 8,912.76 = 2,866 : x
  2. Step 2: Convert to fraction form
    5,950.48/8,912.76 = 2,866/x
  3. Step 3: Cross multiply
    5,950.48x = 8,912.76 × 2,866
  4. Step 4: Simplify right side
    5,950.48x = 25,543,970.16
  5. Step 5: Solve for x
    x = 25,543,970.16/5,950.48
  6. Step 6: Final answer
    x = 4,292.76

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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.