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Finding the Fourth Proportional to 3,697.04, 5,101.95 and 2,018.43

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Solution

The fourth proportional to 3,697.04, 5,101.95 and 2,018.43 is: 2,785.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.04 : 5,101.95 = 2,018.43 : x
  2. Step 2: Convert to fraction form
    3,697.04/5,101.95 = 2,018.43/x
  3. Step 3: Cross multiply
    3,697.04x = 5,101.95 × 2,018.43
  4. Step 4: Simplify right side
    3,697.04x = 10,297,928.94
  5. Step 5: Solve for x
    x = 10,297,928.94/3,697.04
  6. Step 6: Final answer
    x = 2,785.46

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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.