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Finding the Fourth Proportional to 3,425.34, 4,726.86 and 1,933.26

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Solution

The fourth proportional to 3,425.34, 4,726.86 and 1,933.26 is: 2,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.34 : 4,726.86 = 1,933.26 : x
  2. Step 2: Convert to fraction form
    3,425.34/4,726.86 = 1,933.26/x
  3. Step 3: Cross multiply
    3,425.34x = 4,726.86 × 1,933.26
  4. Step 4: Simplify right side
    3,425.34x = 9,138,249.36
  5. Step 5: Solve for x
    x = 9,138,249.36/3,425.34
  6. Step 6: Final answer
    x = 2,667.84

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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.