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Finding the Fourth Proportional to 3,402.05, 5,102.29 and 937.08

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Solution

The fourth proportional to 3,402.05, 5,102.29 and 937.08 is: 1,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.05 : 5,102.29 = 937.08 : x
  2. Step 2: Convert to fraction form
    3,402.05/5,102.29 = 937.08/x
  3. Step 3: Cross multiply
    3,402.05x = 5,102.29 × 937.08
  4. Step 4: Simplify right side
    3,402.05x = 4,781,255.08
  5. Step 5: Solve for x
    x = 4,781,255.08/3,402.05
  6. Step 6: Final answer
    x = 1,405.41

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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.