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Finding the Fourth Proportional to 3,274.12, 4,910.73 and 934.34

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Solution

The fourth proportional to 3,274.12, 4,910.73 and 934.34 is: 1,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.12 : 4,910.73 = 934.34 : x
  2. Step 2: Convert to fraction form
    3,274.12/4,910.73 = 934.34/x
  3. Step 3: Cross multiply
    3,274.12x = 4,910.73 × 934.34
  4. Step 4: Simplify right side
    3,274.12x = 4,588,263.41
  5. Step 5: Solve for x
    x = 4,588,263.41/3,274.12
  6. Step 6: Final answer
    x = 1,401.37

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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.