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Finding the Fourth Proportional to 5,634.28, 8,445.74 and 2,711

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Solution

The fourth proportional to 5,634.28, 8,445.74 and 2,711 is: 4,063.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.28 : 8,445.74 = 2,711 : x
  2. Step 2: Convert to fraction form
    5,634.28/8,445.74 = 2,711/x
  3. Step 3: Cross multiply
    5,634.28x = 8,445.74 × 2,711
  4. Step 4: Simplify right side
    5,634.28x = 22,896,401.14
  5. Step 5: Solve for x
    x = 22,896,401.14/5,634.28
  6. Step 6: Final answer
    x = 4,063.77

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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.