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Finding the Fourth Proportional to 3,934.50, 5,904.06 and 1,743.48

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Solution

The fourth proportional to 3,934.50, 5,904.06 and 1,743.48 is: 2,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.50 : 5,904.06 = 1,743.48 : x
  2. Step 2: Convert to fraction form
    3,934.50/5,904.06 = 1,743.48/x
  3. Step 3: Cross multiply
    3,934.50x = 5,904.06 × 1,743.48
  4. Step 4: Simplify right side
    3,934.50x = 10,293,610.53
  5. Step 5: Solve for x
    x = 10,293,610.53/3,934.50
  6. Step 6: Final answer
    x = 2,616.24

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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.