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Finding the Fourth Proportional to 3,620.13, 5,430.20 and 884.13

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Solution

The fourth proportional to 3,620.13, 5,430.20 and 884.13 is: 1,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,620.13 : 5,430.20 = 884.13 : x
  2. Step 2: Convert to fraction form
    3,620.13/5,430.20 = 884.13/x
  3. Step 3: Cross multiply
    3,620.13x = 5,430.20 × 884.13
  4. Step 4: Simplify right side
    3,620.13x = 4,801,002.73
  5. Step 5: Solve for x
    x = 4,801,002.73/3,620.13
  6. Step 6: Final answer
    x = 1,326.20

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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.