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Finding the Fourth Proportional to 3,710.54, 5,122.71 and 3,212.39

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Solution

The fourth proportional to 3,710.54, 5,122.71 and 3,212.39 is: 4,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.54 : 5,122.71 = 3,212.39 : x
  2. Step 2: Convert to fraction form
    3,710.54/5,122.71 = 3,212.39/x
  3. Step 3: Cross multiply
    3,710.54x = 5,122.71 × 3,212.39
  4. Step 4: Simplify right side
    3,710.54x = 16,456,155.18
  5. Step 5: Solve for x
    x = 16,456,155.18/3,710.54
  6. Step 6: Final answer
    x = 4,434.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.