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Finding the Fourth Proportional to 3,127.85, 4,314.39 and 2,007.01

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Solution

The fourth proportional to 3,127.85, 4,314.39 and 2,007.01 is: 2,768.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.85 : 4,314.39 = 2,007.01 : x
  2. Step 2: Convert to fraction form
    3,127.85/4,314.39 = 2,007.01/x
  3. Step 3: Cross multiply
    3,127.85x = 4,314.39 × 2,007.01
  4. Step 4: Simplify right side
    3,127.85x = 8,659,023.87
  5. Step 5: Solve for x
    x = 8,659,023.87/3,127.85
  6. Step 6: Final answer
    x = 2,768.36

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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.