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Finding the Fourth Proportional to 5,191.71, 7,166.10 and 3,620.31

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Solution

The fourth proportional to 5,191.71, 7,166.10 and 3,620.31 is: 4,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.71 : 7,166.10 = 3,620.31 : x
  2. Step 2: Convert to fraction form
    5,191.71/7,166.10 = 3,620.31/x
  3. Step 3: Cross multiply
    5,191.71x = 7,166.10 × 3,620.31
  4. Step 4: Simplify right side
    5,191.71x = 25,943,503.49
  5. Step 5: Solve for x
    x = 25,943,503.49/5,191.71
  6. Step 6: Final answer
    x = 4,997.10

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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.