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Finding the Fourth Proportional to 3,909.76, 5,395.38 and 2,141.30

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Solution

The fourth proportional to 3,909.76, 5,395.38 and 2,141.30 is: 2,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.76 : 5,395.38 = 2,141.30 : x
  2. Step 2: Convert to fraction form
    3,909.76/5,395.38 = 2,141.30/x
  3. Step 3: Cross multiply
    3,909.76x = 5,395.38 × 2,141.30
  4. Step 4: Simplify right side
    3,909.76x = 11,553,127.19
  5. Step 5: Solve for x
    x = 11,553,127.19/3,909.76
  6. Step 6: Final answer
    x = 2,954.95

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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.