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Finding the Fourth Proportional to 5,805.12, 8,702.94 and 2,881.82

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Solution

The fourth proportional to 5,805.12, 8,702.94 and 2,881.82 is: 4,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.12 : 8,702.94 = 2,881.82 : x
  2. Step 2: Convert to fraction form
    5,805.12/8,702.94 = 2,881.82/x
  3. Step 3: Cross multiply
    5,805.12x = 8,702.94 × 2,881.82
  4. Step 4: Simplify right side
    5,805.12x = 25,080,306.55
  5. Step 5: Solve for x
    x = 25,080,306.55/5,805.12
  6. Step 6: Final answer
    x = 4,320.38

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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.