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Finding the Fourth Proportional to 3,473.80, 5,210.70 and 2,016.70

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Solution

The fourth proportional to 3,473.80, 5,210.70 and 2,016.70 is: 3,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.80 : 5,210.70 = 2,016.70 : x
  2. Step 2: Convert to fraction form
    3,473.80/5,210.70 = 2,016.70/x
  3. Step 3: Cross multiply
    3,473.80x = 5,210.70 × 2,016.70
  4. Step 4: Simplify right side
    3,473.80x = 10,508,418.69
  5. Step 5: Solve for x
    x = 10,508,418.69/3,473.80
  6. Step 6: Final answer
    x = 3,025.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.