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Finding the Fourth Proportional to 5,491.50, 7,578.46 and 3,007.50

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Solution

The fourth proportional to 5,491.50, 7,578.46 and 3,007.50 is: 4,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.50 : 7,578.46 = 3,007.50 : x
  2. Step 2: Convert to fraction form
    5,491.50/7,578.46 = 3,007.50/x
  3. Step 3: Cross multiply
    5,491.50x = 7,578.46 × 3,007.50
  4. Step 4: Simplify right side
    5,491.50x = 22,792,218.45
  5. Step 5: Solve for x
    x = 22,792,218.45/5,491.50
  6. Step 6: Final answer
    x = 4,150.45

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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.