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Finding the Fourth Proportional to 3,862.56, 5,804.09 and 2,108.84

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Solution

The fourth proportional to 3,862.56, 5,804.09 and 2,108.84 is: 3,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.56 : 5,804.09 = 2,108.84 : x
  2. Step 2: Convert to fraction form
    3,862.56/5,804.09 = 2,108.84/x
  3. Step 3: Cross multiply
    3,862.56x = 5,804.09 × 2,108.84
  4. Step 4: Simplify right side
    3,862.56x = 12,239,901.12
  5. Step 5: Solve for x
    x = 12,239,901.12/3,862.56
  6. Step 6: Final answer
    x = 3,168.86

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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.