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Finding the Fourth Proportional to 5,822.63, 8,728.25 and 2,311.47

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Solution

The fourth proportional to 5,822.63, 8,728.25 and 2,311.47 is: 3,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.63 : 8,728.25 = 2,311.47 : x
  2. Step 2: Convert to fraction form
    5,822.63/8,728.25 = 2,311.47/x
  3. Step 3: Cross multiply
    5,822.63x = 8,728.25 × 2,311.47
  4. Step 4: Simplify right side
    5,822.63x = 20,175,116.43
  5. Step 5: Solve for x
    x = 20,175,116.43/5,822.63
  6. Step 6: Final answer
    x = 3,464.95

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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.