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Finding the Fourth Proportional to 3,896.76, 5,378.04 and 2,325.72

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Solution

The fourth proportional to 3,896.76, 5,378.04 and 2,325.72 is: 3,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.76 : 5,378.04 = 2,325.72 : x
  2. Step 2: Convert to fraction form
    3,896.76/5,378.04 = 2,325.72/x
  3. Step 3: Cross multiply
    3,896.76x = 5,378.04 × 2,325.72
  4. Step 4: Simplify right side
    3,896.76x = 12,507,815.19
  5. Step 5: Solve for x
    x = 12,507,815.19/3,896.76
  6. Step 6: Final answer
    x = 3,209.80

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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.