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Finding the Fourth Proportional to 5,791.26, 8,687.28 and 2,328.50

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Solution

The fourth proportional to 5,791.26, 8,687.28 and 2,328.50 is: 3,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.26 : 8,687.28 = 2,328.50 : x
  2. Step 2: Convert to fraction form
    5,791.26/8,687.28 = 2,328.50/x
  3. Step 3: Cross multiply
    5,791.26x = 8,687.28 × 2,328.50
  4. Step 4: Simplify right side
    5,791.26x = 20,228,331.48
  5. Step 5: Solve for x
    x = 20,228,331.48/5,791.26
  6. Step 6: Final answer
    x = 3,492.91

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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.