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Finding the Fourth Proportional to 5,227.40, 7,837.86 and 2,454.68

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Solution

The fourth proportional to 5,227.40, 7,837.86 and 2,454.68 is: 3,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.40 : 7,837.86 = 2,454.68 : x
  2. Step 2: Convert to fraction form
    5,227.40/7,837.86 = 2,454.68/x
  3. Step 3: Cross multiply
    5,227.40x = 7,837.86 × 2,454.68
  4. Step 4: Simplify right side
    5,227.40x = 19,239,438.18
  5. Step 5: Solve for x
    x = 19,239,438.18/5,227.40
  6. Step 6: Final answer
    x = 3,680.50

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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.