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Finding the Fourth Proportional to 3,397.44, 5,090.67 and 1,838.17

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Solution

The fourth proportional to 3,397.44, 5,090.67 and 1,838.17 is: 2,754.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.44 : 5,090.67 = 1,838.17 : x
  2. Step 2: Convert to fraction form
    3,397.44/5,090.67 = 1,838.17/x
  3. Step 3: Cross multiply
    3,397.44x = 5,090.67 × 1,838.17
  4. Step 4: Simplify right side
    3,397.44x = 9,357,516.87
  5. Step 5: Solve for x
    x = 9,357,516.87/3,397.44
  6. Step 6: Final answer
    x = 2,754.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.