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Finding the Fourth Proportional to 5,752.81, 7,940.19 and 4,072.47

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Solution

The fourth proportional to 5,752.81, 7,940.19 and 4,072.47 is: 5,620.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.81 : 7,940.19 = 4,072.47 : x
  2. Step 2: Convert to fraction form
    5,752.81/7,940.19 = 4,072.47/x
  3. Step 3: Cross multiply
    5,752.81x = 7,940.19 × 4,072.47
  4. Step 4: Simplify right side
    5,752.81x = 32,336,185.57
  5. Step 5: Solve for x
    x = 32,336,185.57/5,752.81
  6. Step 6: Final answer
    x = 5,620.94

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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.