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Finding the Fourth Proportional to 3,711.99, 5,122.42 and 2,219.57

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Solution

The fourth proportional to 3,711.99, 5,122.42 and 2,219.57 is: 3,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.99 : 5,122.42 = 2,219.57 : x
  2. Step 2: Convert to fraction form
    3,711.99/5,122.42 = 2,219.57/x
  3. Step 3: Cross multiply
    3,711.99x = 5,122.42 × 2,219.57
  4. Step 4: Simplify right side
    3,711.99x = 11,369,569.76
  5. Step 5: Solve for x
    x = 11,369,569.76/3,711.99
  6. Step 6: Final answer
    x = 3,062.93

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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.