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Finding the Fourth Proportional to 3,425.29, 5,137.93 and 828.22

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Solution

The fourth proportional to 3,425.29, 5,137.93 and 828.22 is: 1,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.29 : 5,137.93 = 828.22 : x
  2. Step 2: Convert to fraction form
    3,425.29/5,137.93 = 828.22/x
  3. Step 3: Cross multiply
    3,425.29x = 5,137.93 × 828.22
  4. Step 4: Simplify right side
    3,425.29x = 4,255,336.38
  5. Step 5: Solve for x
    x = 4,255,336.38/3,425.29
  6. Step 6: Final answer
    x = 1,242.33

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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.