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Finding the Fourth Proportional to 5,822.62, 8,035.20 and 3,170.00

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Solution

The fourth proportional to 5,822.62, 8,035.20 and 3,170.00 is: 4,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.62 : 8,035.20 = 3,170.00 : x
  2. Step 2: Convert to fraction form
    5,822.62/8,035.20 = 3,170.00/x
  3. Step 3: Cross multiply
    5,822.62x = 8,035.20 × 3,170.00
  4. Step 4: Simplify right side
    5,822.62x = 25,471,604.09
  5. Step 5: Solve for x
    x = 25,471,604.09/5,822.62
  6. Step 6: Final answer
    x = 4,374.60

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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.