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Finding the Fourth Proportional to 3,224.25, 4,836.12 and 1,032.39

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Solution

The fourth proportional to 3,224.25, 4,836.12 and 1,032.39 is: 1,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.25 : 4,836.12 = 1,032.39 : x
  2. Step 2: Convert to fraction form
    3,224.25/4,836.12 = 1,032.39/x
  3. Step 3: Cross multiply
    3,224.25x = 4,836.12 × 1,032.39
  4. Step 4: Simplify right side
    3,224.25x = 4,992,761.93
  5. Step 5: Solve for x
    x = 4,992,761.93/3,224.25
  6. Step 6: Final answer
    x = 1,548.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.