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Finding the Fourth Proportional to 3,697.41, 5,102.28 and 2,018.89

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Solution

The fourth proportional to 3,697.41, 5,102.28 and 2,018.89 is: 2,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.41 : 5,102.28 = 2,018.89 : x
  2. Step 2: Convert to fraction form
    3,697.41/5,102.28 = 2,018.89/x
  3. Step 3: Cross multiply
    3,697.41x = 5,102.28 × 2,018.89
  4. Step 4: Simplify right side
    3,697.41x = 10,300,929.31
  5. Step 5: Solve for x
    x = 10,300,929.31/3,697.41
  6. Step 6: Final answer
    x = 2,785.99

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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.