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Finding the Fourth Proportional to 3,858.72, 5,325.12 and 2,286.24

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Solution

The fourth proportional to 3,858.72, 5,325.12 and 2,286.24 is: 3,155.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.72 : 5,325.12 = 2,286.24 : x
  2. Step 2: Convert to fraction form
    3,858.72/5,325.12 = 2,286.24/x
  3. Step 3: Cross multiply
    3,858.72x = 5,325.12 × 2,286.24
  4. Step 4: Simplify right side
    3,858.72x = 12,174,502.35
  5. Step 5: Solve for x
    x = 12,174,502.35/3,858.72
  6. Step 6: Final answer
    x = 3,155.06

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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.