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Finding the Fourth Proportional to 3,926.86, 5,891.01 and 1,294.52

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Solution

The fourth proportional to 3,926.86, 5,891.01 and 1,294.52 is: 1,942.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.86 : 5,891.01 = 1,294.52 : x
  2. Step 2: Convert to fraction form
    3,926.86/5,891.01 = 1,294.52/x
  3. Step 3: Cross multiply
    3,926.86x = 5,891.01 × 1,294.52
  4. Step 4: Simplify right side
    3,926.86x = 7,626,009.07
  5. Step 5: Solve for x
    x = 7,626,009.07/3,926.86
  6. Step 6: Final answer
    x = 1,942.01

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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.