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Finding the Fourth Proportional to 3,797.77, 5,696.61 and 2,248.42

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Solution

The fourth proportional to 3,797.77, 5,696.61 and 2,248.42 is: 3,372.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.77 : 5,696.61 = 2,248.42 : x
  2. Step 2: Convert to fraction form
    3,797.77/5,696.61 = 2,248.42/x
  3. Step 3: Cross multiply
    3,797.77x = 5,696.61 × 2,248.42
  4. Step 4: Simplify right side
    3,797.77x = 12,808,371.86
  5. Step 5: Solve for x
    x = 12,808,371.86/3,797.77
  6. Step 6: Final answer
    x = 3,372.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.