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Finding the Fourth Proportional to 3,822.38, 5,725.46 and 2,178.08

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Solution

The fourth proportional to 3,822.38, 5,725.46 and 2,178.08 is: 3,262.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.38 : 5,725.46 = 2,178.08 : x
  2. Step 2: Convert to fraction form
    3,822.38/5,725.46 = 2,178.08/x
  3. Step 3: Cross multiply
    3,822.38x = 5,725.46 × 2,178.08
  4. Step 4: Simplify right side
    3,822.38x = 12,470,509.92
  5. Step 5: Solve for x
    x = 12,470,509.92/3,822.38
  6. Step 6: Final answer
    x = 3,262.50

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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.