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Finding the Fourth Proportional to 3,914.28, 5,873.04 and 2,182.50

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Solution

The fourth proportional to 3,914.28, 5,873.04 and 2,182.50 is: 3,274.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.28 : 5,873.04 = 2,182.50 : x
  2. Step 2: Convert to fraction form
    3,914.28/5,873.04 = 2,182.50/x
  3. Step 3: Cross multiply
    3,914.28x = 5,873.04 × 2,182.50
  4. Step 4: Simplify right side
    3,914.28x = 12,817,909.80
  5. Step 5: Solve for x
    x = 12,817,909.80/3,914.28
  6. Step 6: Final answer
    x = 3,274.65

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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.