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Finding the Fourth Proportional to 3,496.12, 5,217.08 and 3,128.08

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Solution

The fourth proportional to 3,496.12, 5,217.08 and 3,128.08 is: 4,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.12 : 5,217.08 = 3,128.08 : x
  2. Step 2: Convert to fraction form
    3,496.12/5,217.08 = 3,128.08/x
  3. Step 3: Cross multiply
    3,496.12x = 5,217.08 × 3,128.08
  4. Step 4: Simplify right side
    3,496.12x = 16,319,443.61
  5. Step 5: Solve for x
    x = 16,319,443.61/3,496.12
  6. Step 6: Final answer
    x = 4,667.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.