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Finding the Fourth Proportional to 3,436.14, 5,145.09 and 2,738.13

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Solution

The fourth proportional to 3,436.14, 5,145.09 and 2,738.13 is: 4,099.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.14 : 5,145.09 = 2,738.13 : x
  2. Step 2: Convert to fraction form
    3,436.14/5,145.09 = 2,738.13/x
  3. Step 3: Cross multiply
    3,436.14x = 5,145.09 × 2,738.13
  4. Step 4: Simplify right side
    3,436.14x = 14,087,925.28
  5. Step 5: Solve for x
    x = 14,087,925.28/3,436.14
  6. Step 6: Final answer
    x = 4,099.93

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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.