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Finding the Fourth Proportional to 4,012.50, 6,019.95 and 1,704.18

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Solution

The fourth proportional to 4,012.50, 6,019.95 and 1,704.18 is: 2,556.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,012.50 : 6,019.95 = 1,704.18 : x
  2. Step 2: Convert to fraction form
    4,012.50/6,019.95 = 1,704.18/x
  3. Step 3: Cross multiply
    4,012.50x = 6,019.95 × 1,704.18
  4. Step 4: Simplify right side
    4,012.50x = 10,259,078.39
  5. Step 5: Solve for x
    x = 10,259,078.39/4,012.50
  6. Step 6: Final answer
    x = 2,556.78

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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.