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Finding the Fourth Proportional to 5,827.88, 8,041.87 and 3,469.57

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Solution

The fourth proportional to 5,827.88, 8,041.87 and 3,469.57 is: 4,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.88 : 8,041.87 = 3,469.57 : x
  2. Step 2: Convert to fraction form
    5,827.88/8,041.87 = 3,469.57/x
  3. Step 3: Cross multiply
    5,827.88x = 8,041.87 × 3,469.57
  4. Step 4: Simplify right side
    5,827.88x = 27,901,830.90
  5. Step 5: Solve for x
    x = 27,901,830.90/5,827.88
  6. Step 6: Final answer
    x = 4,787.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.