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Finding the Fourth Proportional to 3,410.85, 5,115.16 and 1,101.81

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Solution

The fourth proportional to 3,410.85, 5,115.16 and 1,101.81 is: 1,652.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.85 : 5,115.16 = 1,101.81 : x
  2. Step 2: Convert to fraction form
    3,410.85/5,115.16 = 1,101.81/x
  3. Step 3: Cross multiply
    3,410.85x = 5,115.16 × 1,101.81
  4. Step 4: Simplify right side
    3,410.85x = 5,635,934.44
  5. Step 5: Solve for x
    x = 5,635,934.44/3,410.85
  6. Step 6: Final answer
    x = 1,652.35

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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.