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Finding the Fourth Proportional to 3,902.96, 5,393.32 and 3,378.08

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Solution

The fourth proportional to 3,902.96, 5,393.32 and 3,378.08 is: 4,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.96 : 5,393.32 = 3,378.08 : x
  2. Step 2: Convert to fraction form
    3,902.96/5,393.32 = 3,378.08/x
  3. Step 3: Cross multiply
    3,902.96x = 5,393.32 × 3,378.08
  4. Step 4: Simplify right side
    3,902.96x = 18,219,066.43
  5. Step 5: Solve for x
    x = 18,219,066.43/3,902.96
  6. Step 6: Final answer
    x = 4,668.01

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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.