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Finding the Fourth Proportional to 3,390.49, 5,071.69 and 3,183.13

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Solution

The fourth proportional to 3,390.49, 5,071.69 and 3,183.13 is: 4,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.49 : 5,071.69 = 3,183.13 : x
  2. Step 2: Convert to fraction form
    3,390.49/5,071.69 = 3,183.13/x
  3. Step 3: Cross multiply
    3,390.49x = 5,071.69 × 3,183.13
  4. Step 4: Simplify right side
    3,390.49x = 16,143,807.32
  5. Step 5: Solve for x
    x = 16,143,807.32/3,390.49
  6. Step 6: Final answer
    x = 4,761.50

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Why These Related Problems?

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