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Finding the Fourth Proportional to 5,281.22, 7,923.74 and 2,472.54

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Solution

The fourth proportional to 5,281.22, 7,923.74 and 2,472.54 is: 3,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.22 : 7,923.74 = 2,472.54 : x
  2. Step 2: Convert to fraction form
    5,281.22/7,923.74 = 2,472.54/x
  3. Step 3: Cross multiply
    5,281.22x = 7,923.74 × 2,472.54
  4. Step 4: Simplify right side
    5,281.22x = 19,591,764.10
  5. Step 5: Solve for x
    x = 19,591,764.10/5,281.22
  6. Step 6: Final answer
    x = 3,709.70

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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.