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Finding the Fourth Proportional to 3,186.47, 4,778.80 and 1,238.22

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Solution

The fourth proportional to 3,186.47, 4,778.80 and 1,238.22 is: 1,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.47 : 4,778.80 = 1,238.22 : x
  2. Step 2: Convert to fraction form
    3,186.47/4,778.80 = 1,238.22/x
  3. Step 3: Cross multiply
    3,186.47x = 4,778.80 × 1,238.22
  4. Step 4: Simplify right side
    3,186.47x = 5,917,202.64
  5. Step 5: Solve for x
    x = 5,917,202.64/3,186.47
  6. Step 6: Final answer
    x = 1,856.98

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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.