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Finding the Fourth Proportional to 5,132.74, 7,697.22 and 1,844.96

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Solution

The fourth proportional to 5,132.74, 7,697.22 and 1,844.96 is: 2,766.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.74 : 7,697.22 = 1,844.96 : x
  2. Step 2: Convert to fraction form
    5,132.74/7,697.22 = 1,844.96/x
  3. Step 3: Cross multiply
    5,132.74x = 7,697.22 × 1,844.96
  4. Step 4: Simplify right side
    5,132.74x = 14,201,063.01
  5. Step 5: Solve for x
    x = 14,201,063.01/5,132.74
  6. Step 6: Final answer
    x = 2,766.76

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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.