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Finding the Fourth Proportional to 3,406.38, 5,109.54 and 2,018.72

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Solution

The fourth proportional to 3,406.38, 5,109.54 and 2,018.72 is: 3,028.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.38 : 5,109.54 = 2,018.72 : x
  2. Step 2: Convert to fraction form
    3,406.38/5,109.54 = 2,018.72/x
  3. Step 3: Cross multiply
    3,406.38x = 5,109.54 × 2,018.72
  4. Step 4: Simplify right side
    3,406.38x = 10,314,712.77
  5. Step 5: Solve for x
    x = 10,314,712.77/3,406.38
  6. Step 6: Final answer
    x = 3,028.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.