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Finding the Fourth Proportional to 4,072.84, 6,109.79 and 1,151.22

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Solution

The fourth proportional to 4,072.84, 6,109.79 and 1,151.22 is: 1,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.84 : 6,109.79 = 1,151.22 : x
  2. Step 2: Convert to fraction form
    4,072.84/6,109.79 = 1,151.22/x
  3. Step 3: Cross multiply
    4,072.84x = 6,109.79 × 1,151.22
  4. Step 4: Simplify right side
    4,072.84x = 7,033,683.78
  5. Step 5: Solve for x
    x = 7,033,683.78/4,072.84
  6. Step 6: Final answer
    x = 1,726.97

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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.