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Finding the Fourth Proportional to 5,662.19, 7,813.67 and 3,144.31

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Solution

The fourth proportional to 5,662.19, 7,813.67 and 3,144.31 is: 4,339.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.19 : 7,813.67 = 3,144.31 : x
  2. Step 2: Convert to fraction form
    5,662.19/7,813.67 = 3,144.31/x
  3. Step 3: Cross multiply
    5,662.19x = 7,813.67 × 3,144.31
  4. Step 4: Simplify right side
    5,662.19x = 24,568,565.46
  5. Step 5: Solve for x
    x = 24,568,565.46/5,662.19
  6. Step 6: Final answer
    x = 4,339.06

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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.