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Finding the Fourth Proportional to 3,909.57, 5,395.00 and 2,141.14

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Solution

The fourth proportional to 3,909.57, 5,395.00 and 2,141.14 is: 2,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.57 : 5,395.00 = 2,141.14 : x
  2. Step 2: Convert to fraction form
    3,909.57/5,395.00 = 2,141.14/x
  3. Step 3: Cross multiply
    3,909.57x = 5,395.00 × 2,141.14
  4. Step 4: Simplify right side
    3,909.57x = 11,551,418.31
  5. Step 5: Solve for x
    x = 11,551,418.31/3,909.57
  6. Step 6: Final answer
    x = 2,954.65

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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.