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Finding the Fourth Proportional to 5,246.78, 7,241.76 and 3,009.92

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Solution

The fourth proportional to 5,246.78, 7,241.76 and 3,009.92 is: 4,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,246.78 : 7,241.76 = 3,009.92 : x
  2. Step 2: Convert to fraction form
    5,246.78/7,241.76 = 3,009.92/x
  3. Step 3: Cross multiply
    5,246.78x = 7,241.76 × 3,009.92
  4. Step 4: Simplify right side
    5,246.78x = 21,797,082.05
  5. Step 5: Solve for x
    x = 21,797,082.05/5,246.78
  6. Step 6: Final answer
    x = 4,154.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.