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Finding the Fourth Proportional to 5,045.69, 6,964.14 and 3,183.77

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Solution

The fourth proportional to 5,045.69, 6,964.14 and 3,183.77 is: 4,394.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,045.69 : 6,964.14 = 3,183.77 : x
  2. Step 2: Convert to fraction form
    5,045.69/6,964.14 = 3,183.77/x
  3. Step 3: Cross multiply
    5,045.69x = 6,964.14 × 3,183.77
  4. Step 4: Simplify right side
    5,045.69x = 22,172,204.09
  5. Step 5: Solve for x
    x = 22,172,204.09/5,045.69
  6. Step 6: Final answer
    x = 4,394.29

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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.