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Finding the Fourth Proportional to 3,173.48, 4,761 and 2,562.72

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Solution

The fourth proportional to 3,173.48, 4,761 and 2,562.72 is: 3,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.48 : 4,761 = 2,562.72 : x
  2. Step 2: Convert to fraction form
    3,173.48/4,761 = 2,562.72/x
  3. Step 3: Cross multiply
    3,173.48x = 4,761 × 2,562.72
  4. Step 4: Simplify right side
    3,173.48x = 12,201,109.92
  5. Step 5: Solve for x
    x = 12,201,109.92/3,173.48
  6. Step 6: Final answer
    x = 3,844.71

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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.