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Finding the Fourth Proportional to 3,402.36, 5,103.54 and 937.44

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Solution

The fourth proportional to 3,402.36, 5,103.54 and 937.44 is: 1,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.36 : 5,103.54 = 937.44 : x
  2. Step 2: Convert to fraction form
    3,402.36/5,103.54 = 937.44/x
  3. Step 3: Cross multiply
    3,402.36x = 5,103.54 × 937.44
  4. Step 4: Simplify right side
    3,402.36x = 4,784,262.54
  5. Step 5: Solve for x
    x = 4,784,262.54/3,402.36
  6. Step 6: Final answer
    x = 1,406.16

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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.