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Finding the Fourth Proportional to 3,425.45, 5,138.16 and 828.39

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Solution

The fourth proportional to 3,425.45, 5,138.16 and 828.39 is: 1,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.45 : 5,138.16 = 828.39 : x
  2. Step 2: Convert to fraction form
    3,425.45/5,138.16 = 828.39/x
  3. Step 3: Cross multiply
    3,425.45x = 5,138.16 × 828.39
  4. Step 4: Simplify right side
    3,425.45x = 4,256,409.89
  5. Step 5: Solve for x
    x = 4,256,409.89/3,425.45
  6. Step 6: Final answer
    x = 1,242.58

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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.