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Finding the Fourth Proportional to 3,896.32, 5,378.04 and 2,480.05

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Solution

The fourth proportional to 3,896.32, 5,378.04 and 2,480.05 is: 3,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.32 : 5,378.04 = 2,480.05 : x
  2. Step 2: Convert to fraction form
    3,896.32/5,378.04 = 2,480.05/x
  3. Step 3: Cross multiply
    3,896.32x = 5,378.04 × 2,480.05
  4. Step 4: Simplify right side
    3,896.32x = 13,337,808.10
  5. Step 5: Solve for x
    x = 13,337,808.10/3,896.32
  6. Step 6: Final answer
    x = 3,423.18

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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.