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Finding the Fourth Proportional to 5,044.66, 7,571.93 and 4,217.02

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Solution

The fourth proportional to 5,044.66, 7,571.93 and 4,217.02 is: 6,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,044.66 : 7,571.93 = 4,217.02 : x
  2. Step 2: Convert to fraction form
    5,044.66/7,571.93 = 4,217.02/x
  3. Step 3: Cross multiply
    5,044.66x = 7,571.93 × 4,217.02
  4. Step 4: Simplify right side
    5,044.66x = 31,930,940.23
  5. Step 5: Solve for x
    x = 31,930,940.23/5,044.66
  6. Step 6: Final answer
    x = 6,329.65

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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.