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Finding the Fourth Proportional to 4,700.36, 6,481.02 and 3,209.12

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Solution

The fourth proportional to 4,700.36, 6,481.02 and 3,209.12 is: 4,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.36 : 6,481.02 = 3,209.12 : x
  2. Step 2: Convert to fraction form
    4,700.36/6,481.02 = 3,209.12/x
  3. Step 3: Cross multiply
    4,700.36x = 6,481.02 × 3,209.12
  4. Step 4: Simplify right side
    4,700.36x = 20,798,370.90
  5. Step 5: Solve for x
    x = 20,798,370.90/4,700.36
  6. Step 6: Final answer
    x = 4,424.85

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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.