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Finding the Fourth Proportional to 5,491.71, 7,578.39 and 3,101.64

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Solution

The fourth proportional to 5,491.71, 7,578.39 and 3,101.64 is: 4,280.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.71 : 7,578.39 = 3,101.64 : x
  2. Step 2: Convert to fraction form
    5,491.71/7,578.39 = 3,101.64/x
  3. Step 3: Cross multiply
    5,491.71x = 7,578.39 × 3,101.64
  4. Step 4: Simplify right side
    5,491.71x = 23,505,437.56
  5. Step 5: Solve for x
    x = 23,505,437.56/5,491.71
  6. Step 6: Final answer
    x = 4,280.17

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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.