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Finding the Fourth Proportional to 4,743.69, 6,544.98 and 3,065.17

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Solution

The fourth proportional to 4,743.69, 6,544.98 and 3,065.17 is: 4,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.69 : 6,544.98 = 3,065.17 : x
  2. Step 2: Convert to fraction form
    4,743.69/6,544.98 = 3,065.17/x
  3. Step 3: Cross multiply
    4,743.69x = 6,544.98 × 3,065.17
  4. Step 4: Simplify right side
    4,743.69x = 20,061,476.35
  5. Step 5: Solve for x
    x = 20,061,476.35/4,743.69
  6. Step 6: Final answer
    x = 4,229.09

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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.