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Finding the Fourth Proportional to 3,887, 5,826.83 and 1,548.45

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Solution

The fourth proportional to 3,887, 5,826.83 and 1,548.45 is: 2,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887 : 5,826.83 = 1,548.45 : x
  2. Step 2: Convert to fraction form
    3,887/5,826.83 = 1,548.45/x
  3. Step 3: Cross multiply
    3,887x = 5,826.83 × 1,548.45
  4. Step 4: Simplify right side
    3,887x = 9,022,554.91
  5. Step 5: Solve for x
    x = 9,022,554.91/3,887
  6. Step 6: Final answer
    x = 2,321.21

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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.