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Finding the Fourth Proportional to 5,771.46, 7,961.31 and 5,382.66

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Solution

The fourth proportional to 5,771.46, 7,961.31 and 5,382.66 is: 7,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.46 : 7,961.31 = 5,382.66 : x
  2. Step 2: Convert to fraction form
    5,771.46/7,961.31 = 5,382.66/x
  3. Step 3: Cross multiply
    5,771.46x = 7,961.31 × 5,382.66
  4. Step 4: Simplify right side
    5,771.46x = 42,853,024.88
  5. Step 5: Solve for x
    x = 42,853,024.88/5,771.46
  6. Step 6: Final answer
    x = 7,424.99

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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.