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Finding the Fourth Proportional to 3,891.58, 5,837.77 and 1,294.72

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Solution

The fourth proportional to 3,891.58, 5,837.77 and 1,294.72 is: 1,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.58 : 5,837.77 = 1,294.72 : x
  2. Step 2: Convert to fraction form
    3,891.58/5,837.77 = 1,294.72/x
  3. Step 3: Cross multiply
    3,891.58x = 5,837.77 × 1,294.72
  4. Step 4: Simplify right side
    3,891.58x = 7,558,264.60
  5. Step 5: Solve for x
    x = 7,558,264.60/3,891.58
  6. Step 6: Final answer
    x = 1,942.21

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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.