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Finding the Fourth Proportional to 4,191.76, 5,781.39 and 3,072.28

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Solution

The fourth proportional to 4,191.76, 5,781.39 and 3,072.28 is: 4,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.76 : 5,781.39 = 3,072.28 : x
  2. Step 2: Convert to fraction form
    4,191.76/5,781.39 = 3,072.28/x
  3. Step 3: Cross multiply
    4,191.76x = 5,781.39 × 3,072.28
  4. Step 4: Simplify right side
    4,191.76x = 17,762,048.87
  5. Step 5: Solve for x
    x = 17,762,048.87/4,191.76
  6. Step 6: Final answer
    x = 4,237.37

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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.