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Finding the Fourth Proportional to 3,826, 5,280.20 and 2,170.32

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Solution

The fourth proportional to 3,826, 5,280.20 and 2,170.32 is: 2,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826 : 5,280.20 = 2,170.32 : x
  2. Step 2: Convert to fraction form
    3,826/5,280.20 = 2,170.32/x
  3. Step 3: Cross multiply
    3,826x = 5,280.20 × 2,170.32
  4. Step 4: Simplify right side
    3,826x = 11,459,723.66
  5. Step 5: Solve for x
    x = 11,459,723.66/3,826
  6. Step 6: Final answer
    x = 2,995.22

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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.