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Finding the Fourth Proportional to 3,420.80, 5,132.19 and 1,081.13

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Solution

The fourth proportional to 3,420.80, 5,132.19 and 1,081.13 is: 1,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.80 : 5,132.19 = 1,081.13 : x
  2. Step 2: Convert to fraction form
    3,420.80/5,132.19 = 1,081.13/x
  3. Step 3: Cross multiply
    3,420.80x = 5,132.19 × 1,081.13
  4. Step 4: Simplify right side
    3,420.80x = 5,548,538.91
  5. Step 5: Solve for x
    x = 5,548,538.91/3,420.80
  6. Step 6: Final answer
    x = 1,622.00

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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.