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Finding the Fourth Proportional to 4,196.80, 5,791.13 and 2,428.06

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Solution

The fourth proportional to 4,196.80, 5,791.13 and 2,428.06 is: 3,350.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.80 : 5,791.13 = 2,428.06 : x
  2. Step 2: Convert to fraction form
    4,196.80/5,791.13 = 2,428.06/x
  3. Step 3: Cross multiply
    4,196.80x = 5,791.13 × 2,428.06
  4. Step 4: Simplify right side
    4,196.80x = 14,061,211.11
  5. Step 5: Solve for x
    x = 14,061,211.11/4,196.80
  6. Step 6: Final answer
    x = 3,350.46

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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.