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Finding the Fourth Proportional to 3,864.65, 5,325.48 and 3,383.64

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Solution

The fourth proportional to 3,864.65, 5,325.48 and 3,383.64 is: 4,662.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.65 : 5,325.48 = 3,383.64 : x
  2. Step 2: Convert to fraction form
    3,864.65/5,325.48 = 3,383.64/x
  3. Step 3: Cross multiply
    3,864.65x = 5,325.48 × 3,383.64
  4. Step 4: Simplify right side
    3,864.65x = 18,019,507.15
  5. Step 5: Solve for x
    x = 18,019,507.15/3,864.65
  6. Step 6: Final answer
    x = 4,662.66

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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.