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Finding the Fourth Proportional to 3,697.74, 5,102.94 and 2,019.18

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Solution

The fourth proportional to 3,697.74, 5,102.94 and 2,019.18 is: 2,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.74 : 5,102.94 = 2,019.18 : x
  2. Step 2: Convert to fraction form
    3,697.74/5,102.94 = 2,019.18/x
  3. Step 3: Cross multiply
    3,697.74x = 5,102.94 × 2,019.18
  4. Step 4: Simplify right side
    3,697.74x = 10,303,754.39
  5. Step 5: Solve for x
    x = 10,303,754.39/3,697.74
  6. Step 6: Final answer
    x = 2,786.50

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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.