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Finding the Fourth Proportional to 3,697.40, 5,102.36 and 2,018.76

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Solution

The fourth proportional to 3,697.40, 5,102.36 and 2,018.76 is: 2,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.40 : 5,102.36 = 2,018.76 : x
  2. Step 2: Convert to fraction form
    3,697.40/5,102.36 = 2,018.76/x
  3. Step 3: Cross multiply
    3,697.40x = 5,102.36 × 2,018.76
  4. Step 4: Simplify right side
    3,697.40x = 10,300,440.27
  5. Step 5: Solve for x
    x = 10,300,440.27/3,697.40
  6. Step 6: Final answer
    x = 2,785.86

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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.