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Finding the Fourth Proportional to 5,690.28, 7,849.54 and 3,922.76

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Solution

The fourth proportional to 5,690.28, 7,849.54 and 3,922.76 is: 5,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.28 : 7,849.54 = 3,922.76 : x
  2. Step 2: Convert to fraction form
    5,690.28/7,849.54 = 3,922.76/x
  3. Step 3: Cross multiply
    5,690.28x = 7,849.54 × 3,922.76
  4. Step 4: Simplify right side
    5,690.28x = 30,791,861.53
  5. Step 5: Solve for x
    x = 30,791,861.53/5,690.28
  6. Step 6: Final answer
    x = 5,411.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.