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Finding the Fourth Proportional to 4,677.69, 6,983.97 and 4,211.13

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Solution

The fourth proportional to 4,677.69, 6,983.97 and 4,211.13 is: 6,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.69 : 6,983.97 = 4,211.13 : x
  2. Step 2: Convert to fraction form
    4,677.69/6,983.97 = 4,211.13/x
  3. Step 3: Cross multiply
    4,677.69x = 6,983.97 × 4,211.13
  4. Step 4: Simplify right side
    4,677.69x = 29,410,405.59
  5. Step 5: Solve for x
    x = 29,410,405.59/4,677.69
  6. Step 6: Final answer
    x = 6,287.38

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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.