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Finding the Fourth Proportional to 3,974.61, 5,959.59 and 1,200.45

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Solution

The fourth proportional to 3,974.61, 5,959.59 and 1,200.45 is: 1,799.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.61 : 5,959.59 = 1,200.45 : x
  2. Step 2: Convert to fraction form
    3,974.61/5,959.59 = 1,200.45/x
  3. Step 3: Cross multiply
    3,974.61x = 5,959.59 × 1,200.45
  4. Step 4: Simplify right side
    3,974.61x = 7,154,189.82
  5. Step 5: Solve for x
    x = 7,154,189.82/3,974.61
  6. Step 6: Final answer
    x = 1,799.97

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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.