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Finding the Fourth Proportional to 3,937.11, 5,902.74 and 1,855.93

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Solution

The fourth proportional to 3,937.11, 5,902.74 and 1,855.93 is: 2,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.11 : 5,902.74 = 1,855.93 : x
  2. Step 2: Convert to fraction form
    3,937.11/5,902.74 = 1,855.93/x
  3. Step 3: Cross multiply
    3,937.11x = 5,902.74 × 1,855.93
  4. Step 4: Simplify right side
    3,937.11x = 10,955,073.18
  5. Step 5: Solve for x
    x = 10,955,073.18/3,937.11
  6. Step 6: Final answer
    x = 2,782.51

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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.