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Finding the Fourth Proportional to 3,864.56, 5,807.10 and 2,110.84

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Solution

The fourth proportional to 3,864.56, 5,807.10 and 2,110.84 is: 3,171.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.56 : 5,807.10 = 2,110.84 : x
  2. Step 2: Convert to fraction form
    3,864.56/5,807.10 = 2,110.84/x
  3. Step 3: Cross multiply
    3,864.56x = 5,807.10 × 2,110.84
  4. Step 4: Simplify right side
    3,864.56x = 12,257,858.96
  5. Step 5: Solve for x
    x = 12,257,858.96/3,864.56
  6. Step 6: Final answer
    x = 3,171.86

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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.