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Finding the Fourth Proportional to 5,661.20, 7,813.39 and 3,144.12

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Solution

The fourth proportional to 5,661.20, 7,813.39 and 3,144.12 is: 4,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.20 : 7,813.39 = 3,144.12 : x
  2. Step 2: Convert to fraction form
    5,661.20/7,813.39 = 3,144.12/x
  3. Step 3: Cross multiply
    5,661.20x = 7,813.39 × 3,144.12
  4. Step 4: Simplify right side
    5,661.20x = 24,566,235.77
  5. Step 5: Solve for x
    x = 24,566,235.77/5,661.20
  6. Step 6: Final answer
    x = 4,339.40

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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.