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Finding the Fourth Proportional to 3,908.80, 5,393.24 and 2,314.64

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Solution

The fourth proportional to 3,908.80, 5,393.24 and 2,314.64 is: 3,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.80 : 5,393.24 = 2,314.64 : x
  2. Step 2: Convert to fraction form
    3,908.80/5,393.24 = 2,314.64/x
  3. Step 3: Cross multiply
    3,908.80x = 5,393.24 × 2,314.64
  4. Step 4: Simplify right side
    3,908.80x = 12,483,409.03
  5. Step 5: Solve for x
    x = 12,483,409.03/3,908.80
  6. Step 6: Final answer
    x = 3,193.67

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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.