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Finding the Fourth Proportional to 3,450.69, 5,169.87 and 3,210.81

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Solution

The fourth proportional to 3,450.69, 5,169.87 and 3,210.81 is: 4,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450.69 : 5,169.87 = 3,210.81 : x
  2. Step 2: Convert to fraction form
    3,450.69/5,169.87 = 3,210.81/x
  3. Step 3: Cross multiply
    3,450.69x = 5,169.87 × 3,210.81
  4. Step 4: Simplify right side
    3,450.69x = 16,599,470.29
  5. Step 5: Solve for x
    x = 16,599,470.29/3,450.69
  6. Step 6: Final answer
    x = 4,810.48

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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.