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Finding the Fourth Proportional to 3,855.99, 5,321.78 and 2,864.10

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Solution

The fourth proportional to 3,855.99, 5,321.78 and 2,864.10 is: 3,952.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.99 : 5,321.78 = 2,864.10 : x
  2. Step 2: Convert to fraction form
    3,855.99/5,321.78 = 2,864.10/x
  3. Step 3: Cross multiply
    3,855.99x = 5,321.78 × 2,864.10
  4. Step 4: Simplify right side
    3,855.99x = 15,242,109.08
  5. Step 5: Solve for x
    x = 15,242,109.08/3,855.99
  6. Step 6: Final answer
    x = 3,952.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.