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Finding the Fourth Proportional to 3,797.84, 5,696.92 and 1,165.15

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Solution

The fourth proportional to 3,797.84, 5,696.92 and 1,165.15 is: 1,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.84 : 5,696.92 = 1,165.15 : x
  2. Step 2: Convert to fraction form
    3,797.84/5,696.92 = 1,165.15/x
  3. Step 3: Cross multiply
    3,797.84x = 5,696.92 × 1,165.15
  4. Step 4: Simplify right side
    3,797.84x = 6,637,737.85
  5. Step 5: Solve for x
    x = 6,637,737.85/3,797.84
  6. Step 6: Final answer
    x = 1,747.77

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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.