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Finding the Fourth Proportional to 4,172.07, 5,750.78 and 2,827.27

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Solution

The fourth proportional to 4,172.07, 5,750.78 and 2,827.27 is: 3,897.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.07 : 5,750.78 = 2,827.27 : x
  2. Step 2: Convert to fraction form
    4,172.07/5,750.78 = 2,827.27/x
  3. Step 3: Cross multiply
    4,172.07x = 5,750.78 × 2,827.27
  4. Step 4: Simplify right side
    4,172.07x = 16,259,007.77
  5. Step 5: Solve for x
    x = 16,259,007.77/4,172.07
  6. Step 6: Final answer
    x = 3,897.11

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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.