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Finding the Fourth Proportional to 4,011.78, 6,018.24 and 1,238.69

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Solution

The fourth proportional to 4,011.78, 6,018.24 and 1,238.69 is: 1,858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,011.78 : 6,018.24 = 1,238.69 : x
  2. Step 2: Convert to fraction form
    4,011.78/6,018.24 = 1,238.69/x
  3. Step 3: Cross multiply
    4,011.78x = 6,018.24 × 1,238.69
  4. Step 4: Simplify right side
    4,011.78x = 7,454,717.22
  5. Step 5: Solve for x
    x = 7,454,717.22/4,011.78
  6. Step 6: Final answer
    x = 1,858.21

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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.