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Finding the Fourth Proportional to 5,274.92, 7,911.68 and 2,503.34

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Solution

The fourth proportional to 5,274.92, 7,911.68 and 2,503.34 is: 3,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.92 : 7,911.68 = 2,503.34 : x
  2. Step 2: Convert to fraction form
    5,274.92/7,911.68 = 2,503.34/x
  3. Step 3: Cross multiply
    5,274.92x = 7,911.68 × 2,503.34
  4. Step 4: Simplify right side
    5,274.92x = 19,805,625.01
  5. Step 5: Solve for x
    x = 19,805,625.01/5,274.92
  6. Step 6: Final answer
    x = 3,754.68

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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.