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Finding the Fourth Proportional to 5,491.61, 7,578.55 and 3,133.97

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Solution

The fourth proportional to 5,491.61, 7,578.55 and 3,133.97 is: 4,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.61 : 7,578.55 = 3,133.97 : x
  2. Step 2: Convert to fraction form
    5,491.61/7,578.55 = 3,133.97/x
  3. Step 3: Cross multiply
    5,491.61x = 7,578.55 × 3,133.97
  4. Step 4: Simplify right side
    5,491.61x = 23,750,975.12
  5. Step 5: Solve for x
    x = 23,750,975.12/5,491.61
  6. Step 6: Final answer
    x = 4,324.95

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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.