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Finding the Fourth Proportional to 4,150.71, 6,227.06 and 1,228.95

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Solution

The fourth proportional to 4,150.71, 6,227.06 and 1,228.95 is: 1,843.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,150.71 : 6,227.06 = 1,228.95 : x
  2. Step 2: Convert to fraction form
    4,150.71/6,227.06 = 1,228.95/x
  3. Step 3: Cross multiply
    4,150.71x = 6,227.06 × 1,228.95
  4. Step 4: Simplify right side
    4,150.71x = 7,652,739.24
  5. Step 5: Solve for x
    x = 7,652,739.24/4,150.71
  6. Step 6: Final answer
    x = 1,843.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.