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Finding the Fourth Proportional to 3,402.72, 5,104.13 and 937.51

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Solution

The fourth proportional to 3,402.72, 5,104.13 and 937.51 is: 1,406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.72 : 5,104.13 = 937.51 : x
  2. Step 2: Convert to fraction form
    3,402.72/5,104.13 = 937.51/x
  3. Step 3: Cross multiply
    3,402.72x = 5,104.13 × 937.51
  4. Step 4: Simplify right side
    3,402.72x = 4,785,172.92
  5. Step 5: Solve for x
    x = 4,785,172.92/3,402.72
  6. Step 6: Final answer
    x = 1,406.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.