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Finding the Fourth Proportional to 5,883, 8,827.74 and 2,805

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Solution

The fourth proportional to 5,883, 8,827.74 and 2,805 is: 4,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883 : 8,827.74 = 2,805 : x
  2. Step 2: Convert to fraction form
    5,883/8,827.74 = 2,805/x
  3. Step 3: Cross multiply
    5,883x = 8,827.74 × 2,805
  4. Step 4: Simplify right side
    5,883x = 24,761,810.70
  5. Step 5: Solve for x
    x = 24,761,810.70/5,883
  6. Step 6: Final answer
    x = 4,209.04

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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.