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Finding the Fourth Proportional to 3,839.04, 5,263.92 and 3,464.64

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Solution

The fourth proportional to 3,839.04, 5,263.92 and 3,464.64 is: 4,750.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.04 : 5,263.92 = 3,464.64 : x
  2. Step 2: Convert to fraction form
    3,839.04/5,263.92 = 3,464.64/x
  3. Step 3: Cross multiply
    3,839.04x = 5,263.92 × 3,464.64
  4. Step 4: Simplify right side
    3,839.04x = 18,237,587.79
  5. Step 5: Solve for x
    x = 18,237,587.79/3,839.04
  6. Step 6: Final answer
    x = 4,750.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.