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Finding the Fourth Proportional to 3,335.72, 5,003.42 and 836.93

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Solution

The fourth proportional to 3,335.72, 5,003.42 and 836.93 is: 1,255.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.72 : 5,003.42 = 836.93 : x
  2. Step 2: Convert to fraction form
    3,335.72/5,003.42 = 836.93/x
  3. Step 3: Cross multiply
    3,335.72x = 5,003.42 × 836.93
  4. Step 4: Simplify right side
    3,335.72x = 4,187,512.30
  5. Step 5: Solve for x
    x = 4,187,512.30/3,335.72
  6. Step 6: Final answer
    x = 1,255.35

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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.