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Finding the Fourth Proportional to 3,697.23, 5,102.13 and 2,018.67

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Solution

The fourth proportional to 3,697.23, 5,102.13 and 2,018.67 is: 2,785.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.23 : 5,102.13 = 2,018.67 : x
  2. Step 2: Convert to fraction form
    3,697.23/5,102.13 = 2,018.67/x
  3. Step 3: Cross multiply
    3,697.23x = 5,102.13 × 2,018.67
  4. Step 4: Simplify right side
    3,697.23x = 10,299,516.77
  5. Step 5: Solve for x
    x = 10,299,516.77/3,697.23
  6. Step 6: Final answer
    x = 2,785.74

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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.