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Finding the Fourth Proportional to 3,425.12, 5,137.67 and 828.05

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Solution

The fourth proportional to 3,425.12, 5,137.67 and 828.05 is: 1,242.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.12 : 5,137.67 = 828.05 : x
  2. Step 2: Convert to fraction form
    3,425.12/5,137.67 = 828.05/x
  3. Step 3: Cross multiply
    3,425.12x = 5,137.67 × 828.05
  4. Step 4: Simplify right side
    3,425.12x = 4,254,262.56
  5. Step 5: Solve for x
    x = 4,254,262.56/3,425.12
  6. Step 6: Final answer
    x = 1,242.08

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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.