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Finding the Fourth Proportional to 5,822.78, 8,035.17 and 3,170.18

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Solution

The fourth proportional to 5,822.78, 8,035.17 and 3,170.18 is: 4,374.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.78 : 8,035.17 = 3,170.18 : x
  2. Step 2: Convert to fraction form
    5,822.78/8,035.17 = 3,170.18/x
  3. Step 3: Cross multiply
    5,822.78x = 8,035.17 × 3,170.18
  4. Step 4: Simplify right side
    5,822.78x = 25,472,937.28
  5. Step 5: Solve for x
    x = 25,472,937.28/5,822.78
  6. Step 6: Final answer
    x = 4,374.70

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1.5x scale

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.