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Finding the Fourth Proportional to 5,821.60, 8,034.02 and 3,168.88

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Solution

The fourth proportional to 5,821.60, 8,034.02 and 3,168.88 is: 4,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.60 : 8,034.02 = 3,168.88 : x
  2. Step 2: Convert to fraction form
    5,821.60/8,034.02 = 3,168.88/x
  3. Step 3: Cross multiply
    5,821.60x = 8,034.02 × 3,168.88
  4. Step 4: Simplify right side
    5,821.60x = 25,458,845.30
  5. Step 5: Solve for x
    x = 25,458,845.30/5,821.60
  6. Step 6: Final answer
    x = 4,373.17

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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.