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Finding the Fourth Proportional to 3,138.50, 4,704.07 and 1,287.14

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Solution

The fourth proportional to 3,138.50, 4,704.07 and 1,287.14 is: 1,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.50 : 4,704.07 = 1,287.14 : x
  2. Step 2: Convert to fraction form
    3,138.50/4,704.07 = 1,287.14/x
  3. Step 3: Cross multiply
    3,138.50x = 4,704.07 × 1,287.14
  4. Step 4: Simplify right side
    3,138.50x = 6,054,796.66
  5. Step 5: Solve for x
    x = 6,054,796.66/3,138.50
  6. Step 6: Final answer
    x = 1,929.20

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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.