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Finding the Fourth Proportional to 3,933.99, 5,902.38 and 1,855.58

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Solution

The fourth proportional to 3,933.99, 5,902.38 and 1,855.58 is: 2,784.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.99 : 5,902.38 = 1,855.58 : x
  2. Step 2: Convert to fraction form
    3,933.99/5,902.38 = 1,855.58/x
  3. Step 3: Cross multiply
    3,933.99x = 5,902.38 × 1,855.58
  4. Step 4: Simplify right side
    3,933.99x = 10,952,308.77
  5. Step 5: Solve for x
    x = 10,952,308.77/3,933.99
  6. Step 6: Final answer
    x = 2,784.02

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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.