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Finding the Fourth Proportional to 5,403.50, 7,456.84 and 2,919.50

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Solution

The fourth proportional to 5,403.50, 7,456.84 and 2,919.50 is: 4,028.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.50 : 7,456.84 = 2,919.50 : x
  2. Step 2: Convert to fraction form
    5,403.50/7,456.84 = 2,919.50/x
  3. Step 3: Cross multiply
    5,403.50x = 7,456.84 × 2,919.50
  4. Step 4: Simplify right side
    5,403.50x = 21,770,244.38
  5. Step 5: Solve for x
    x = 21,770,244.38/5,403.50
  6. Step 6: Final answer
    x = 4,028.92

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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.