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Finding the Fourth Proportional to 3,352.86, 5,027.70 and 1,504

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Solution

The fourth proportional to 3,352.86, 5,027.70 and 1,504 is: 2,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,352.86 : 5,027.70 = 1,504 : x
  2. Step 2: Convert to fraction form
    3,352.86/5,027.70 = 1,504/x
  3. Step 3: Cross multiply
    3,352.86x = 5,027.70 × 1,504
  4. Step 4: Simplify right side
    3,352.86x = 7,561,660.80
  5. Step 5: Solve for x
    x = 7,561,660.80/3,352.86
  6. Step 6: Final answer
    x = 2,255.29

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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.