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Finding the Fourth Proportional to 5,822.34, 8,034.87 and 3,169.77

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Solution

The fourth proportional to 5,822.34, 8,034.87 and 3,169.77 is: 4,374.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.34 : 8,034.87 = 3,169.77 : x
  2. Step 2: Convert to fraction form
    5,822.34/8,034.87 = 3,169.77/x
  3. Step 3: Cross multiply
    5,822.34x = 8,034.87 × 3,169.77
  4. Step 4: Simplify right side
    5,822.34x = 25,468,689.88
  5. Step 5: Solve for x
    x = 25,468,689.88/5,822.34
  6. Step 6: Final answer
    x = 4,374.30

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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.