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Finding the Fourth Proportional to 4,149.64, 6,236.74 and 3,844.08

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Solution

The fourth proportional to 4,149.64, 6,236.74 and 3,844.08 is: 5,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.64 : 6,236.74 = 3,844.08 : x
  2. Step 2: Convert to fraction form
    4,149.64/6,236.74 = 3,844.08/x
  3. Step 3: Cross multiply
    4,149.64x = 6,236.74 × 3,844.08
  4. Step 4: Simplify right side
    4,149.64x = 23,974,527.50
  5. Step 5: Solve for x
    x = 23,974,527.50/4,149.64
  6. Step 6: Final answer
    x = 5,777.50

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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.