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Finding the Fourth Proportional to 5,732.70, 7,900.41 and 4,471.75

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Solution

The fourth proportional to 5,732.70, 7,900.41 and 4,471.75 is: 6,162.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.70 : 7,900.41 = 4,471.75 : x
  2. Step 2: Convert to fraction form
    5,732.70/7,900.41 = 4,471.75/x
  3. Step 3: Cross multiply
    5,732.70x = 7,900.41 × 4,471.75
  4. Step 4: Simplify right side
    5,732.70x = 35,328,682.45
  5. Step 5: Solve for x
    x = 35,328,682.45/5,732.70
  6. Step 6: Final answer
    x = 6,162.66

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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.