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Finding the Fourth Proportional to 3,761.17, 5,189.64 and 2,269.17

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Solution

The fourth proportional to 3,761.17, 5,189.64 and 2,269.17 is: 3,130.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.17 : 5,189.64 = 2,269.17 : x
  2. Step 2: Convert to fraction form
    3,761.17/5,189.64 = 2,269.17/x
  3. Step 3: Cross multiply
    3,761.17x = 5,189.64 × 2,269.17
  4. Step 4: Simplify right side
    3,761.17x = 11,776,175.40
  5. Step 5: Solve for x
    x = 11,776,175.40/3,761.17
  6. Step 6: Final answer
    x = 3,130.99

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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.