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Finding the Fourth Proportional to 3,425.20, 5,137.79 and 828.13

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Solution

The fourth proportional to 3,425.20, 5,137.79 and 828.13 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.20 : 5,137.79 = 828.13 : x
  2. Step 2: Convert to fraction form
    3,425.20/5,137.79 = 828.13/x
  3. Step 3: Cross multiply
    3,425.20x = 5,137.79 × 828.13
  4. Step 4: Simplify right side
    3,425.20x = 4,254,758.03
  5. Step 5: Solve for x
    x = 4,254,758.03/3,425.20
  6. Step 6: Final answer
    x = 1,242.19

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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.