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Finding the Fourth Proportional to 3,884.34, 5,826.54 and 1,419.18

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Solution

The fourth proportional to 3,884.34, 5,826.54 and 1,419.18 is: 2,128.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.34 : 5,826.54 = 1,419.18 : x
  2. Step 2: Convert to fraction form
    3,884.34/5,826.54 = 1,419.18/x
  3. Step 3: Cross multiply
    3,884.34x = 5,826.54 × 1,419.18
  4. Step 4: Simplify right side
    3,884.34x = 8,268,909.04
  5. Step 5: Solve for x
    x = 8,268,909.04/3,884.34
  6. Step 6: Final answer
    x = 2,128.78

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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.