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Finding the Fourth Proportional to 5,747.31, 7,924.33 and 4,471.56

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Solution

The fourth proportional to 5,747.31, 7,924.33 and 4,471.56 is: 6,165.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.31 : 7,924.33 = 4,471.56 : x
  2. Step 2: Convert to fraction form
    5,747.31/7,924.33 = 4,471.56/x
  3. Step 3: Cross multiply
    5,747.31x = 7,924.33 × 4,471.56
  4. Step 4: Simplify right side
    5,747.31x = 35,434,117.05
  5. Step 5: Solve for x
    x = 35,434,117.05/5,747.31
  6. Step 6: Final answer
    x = 6,165.34

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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.