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Finding the Fourth Proportional to 3,855.93, 5,777.51 and 3,239.92

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Solution

The fourth proportional to 3,855.93, 5,777.51 and 3,239.92 is: 4,854.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.93 : 5,777.51 = 3,239.92 : x
  2. Step 2: Convert to fraction form
    3,855.93/5,777.51 = 3,239.92/x
  3. Step 3: Cross multiply
    3,855.93x = 5,777.51 × 3,239.92
  4. Step 4: Simplify right side
    3,855.93x = 18,718,670.20
  5. Step 5: Solve for x
    x = 18,718,670.20/3,855.93
  6. Step 6: Final answer
    x = 4,854.52

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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.