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Finding the Fourth Proportional to 3,425.34, 5,138.05 and 1,232.54

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Solution

The fourth proportional to 3,425.34, 5,138.05 and 1,232.54 is: 1,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.34 : 5,138.05 = 1,232.54 : x
  2. Step 2: Convert to fraction form
    3,425.34/5,138.05 = 1,232.54/x
  3. Step 3: Cross multiply
    3,425.34x = 5,138.05 × 1,232.54
  4. Step 4: Simplify right side
    3,425.34x = 6,332,852.15
  5. Step 5: Solve for x
    x = 6,332,852.15/3,425.34
  6. Step 6: Final answer
    x = 1,848.82

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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.