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Finding the Fourth Proportional to 5,642.92, 7,789.41 and 5,052.43

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Solution

The fourth proportional to 5,642.92, 7,789.41 and 5,052.43 is: 6,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.92 : 7,789.41 = 5,052.43 : x
  2. Step 2: Convert to fraction form
    5,642.92/7,789.41 = 5,052.43/x
  3. Step 3: Cross multiply
    5,642.92x = 7,789.41 × 5,052.43
  4. Step 4: Simplify right side
    5,642.92x = 39,355,448.77
  5. Step 5: Solve for x
    x = 39,355,448.77/5,642.92
  6. Step 6: Final answer
    x = 6,974.31

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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.