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Finding the Fourth Proportional to 3,863.66, 5,331.51 and 2,184.84

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Solution

The fourth proportional to 3,863.66, 5,331.51 and 2,184.84 is: 3,014.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.66 : 5,331.51 = 2,184.84 : x
  2. Step 2: Convert to fraction form
    3,863.66/5,331.51 = 2,184.84/x
  3. Step 3: Cross multiply
    3,863.66x = 5,331.51 × 2,184.84
  4. Step 4: Simplify right side
    3,863.66x = 11,648,496.31
  5. Step 5: Solve for x
    x = 11,648,496.31/3,863.66
  6. Step 6: Final answer
    x = 3,014.89

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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.