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Finding the Fourth Proportional to 5,229.96, 7,844.80 and 2,455.96

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Solution

The fourth proportional to 5,229.96, 7,844.80 and 2,455.96 is: 3,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,229.96 : 7,844.80 = 2,455.96 : x
  2. Step 2: Convert to fraction form
    5,229.96/7,844.80 = 2,455.96/x
  3. Step 3: Cross multiply
    5,229.96x = 7,844.80 × 2,455.96
  4. Step 4: Simplify right side
    5,229.96x = 19,266,515.01
  5. Step 5: Solve for x
    x = 19,266,515.01/5,229.96
  6. Step 6: Final answer
    x = 3,683.87

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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.