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Finding the Fourth Proportional to 4,824.92, 7,235.72 and 1,781.48

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Solution

The fourth proportional to 4,824.92, 7,235.72 and 1,781.48 is: 2,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.92 : 7,235.72 = 1,781.48 : x
  2. Step 2: Convert to fraction form
    4,824.92/7,235.72 = 1,781.48/x
  3. Step 3: Cross multiply
    4,824.92x = 7,235.72 × 1,781.48
  4. Step 4: Simplify right side
    4,824.92x = 12,890,290.47
  5. Step 5: Solve for x
    x = 12,890,290.47/4,824.92
  6. Step 6: Final answer
    x = 2,671.61

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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.