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Finding the Fourth Proportional to 4,165.08, 5,747.81 and 2,250.90

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Solution

The fourth proportional to 4,165.08, 5,747.81 and 2,250.90 is: 3,106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.08 : 5,747.81 = 2,250.90 : x
  2. Step 2: Convert to fraction form
    4,165.08/5,747.81 = 2,250.90/x
  3. Step 3: Cross multiply
    4,165.08x = 5,747.81 × 2,250.90
  4. Step 4: Simplify right side
    4,165.08x = 12,937,745.53
  5. Step 5: Solve for x
    x = 12,937,745.53/4,165.08
  6. Step 6: Final answer
    x = 3,106.24

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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.