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Finding the Fourth Proportional to 3,855.02, 5,782.47 and 1,222.52

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Solution

The fourth proportional to 3,855.02, 5,782.47 and 1,222.52 is: 1,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.02 : 5,782.47 = 1,222.52 : x
  2. Step 2: Convert to fraction form
    3,855.02/5,782.47 = 1,222.52/x
  3. Step 3: Cross multiply
    3,855.02x = 5,782.47 × 1,222.52
  4. Step 4: Simplify right side
    3,855.02x = 7,069,151.73
  5. Step 5: Solve for x
    x = 7,069,151.73/3,855.02
  6. Step 6: Final answer
    x = 1,833.75

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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.