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Finding the Fourth Proportional to 3,709, 5,118.42 and 2,137.36

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Solution

The fourth proportional to 3,709, 5,118.42 and 2,137.36 is: 2,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 5,118.42 = 2,137.36 : x
  2. Step 2: Convert to fraction form
    3,709/5,118.42 = 2,137.36/x
  3. Step 3: Cross multiply
    3,709x = 5,118.42 × 2,137.36
  4. Step 4: Simplify right side
    3,709x = 10,939,906.17
  5. Step 5: Solve for x
    x = 10,939,906.17/3,709
  6. Step 6: Final answer
    x = 2,949.56

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1.5x scale

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.