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Finding the Fourth Proportional to 4,661.92, 6,993.92 and 1,542.90

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Solution

The fourth proportional to 4,661.92, 6,993.92 and 1,542.90 is: 2,314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.92 : 6,993.92 = 1,542.90 : x
  2. Step 2: Convert to fraction form
    4,661.92/6,993.92 = 1,542.90/x
  3. Step 3: Cross multiply
    4,661.92x = 6,993.92 × 1,542.90
  4. Step 4: Simplify right side
    4,661.92x = 10,790,919.17
  5. Step 5: Solve for x
    x = 10,790,919.17/4,661.92
  6. Step 6: Final answer
    x = 2,314.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.