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Finding the Fourth Proportional to 5,965.95, 8,234.10 and 3,447.72

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Solution

The fourth proportional to 5,965.95, 8,234.10 and 3,447.72 is: 4,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.95 : 8,234.10 = 3,447.72 : x
  2. Step 2: Convert to fraction form
    5,965.95/8,234.10 = 3,447.72/x
  3. Step 3: Cross multiply
    5,965.95x = 8,234.10 × 3,447.72
  4. Step 4: Simplify right side
    5,965.95x = 28,388,871.25
  5. Step 5: Solve for x
    x = 28,388,871.25/5,965.95
  6. Step 6: Final answer
    x = 4,758.48

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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.