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Finding the Fourth Proportional to 3,425.23, 5,137.83 and 828.16

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Solution

The fourth proportional to 3,425.23, 5,137.83 and 828.16 is: 1,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.23 : 5,137.83 = 828.16 : x
  2. Step 2: Convert to fraction form
    3,425.23/5,137.83 = 828.16/x
  3. Step 3: Cross multiply
    3,425.23x = 5,137.83 × 828.16
  4. Step 4: Simplify right side
    3,425.23x = 4,254,945.29
  5. Step 5: Solve for x
    x = 4,254,945.29/3,425.23
  6. Step 6: Final answer
    x = 1,242.24

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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.