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Finding the Fourth Proportional to 3,786, 5,225.18 and 2,294.48

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Solution

The fourth proportional to 3,786, 5,225.18 and 2,294.48 is: 3,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786 : 5,225.18 = 2,294.48 : x
  2. Step 2: Convert to fraction form
    3,786/5,225.18 = 2,294.48/x
  3. Step 3: Cross multiply
    3,786x = 5,225.18 × 2,294.48
  4. Step 4: Simplify right side
    3,786x = 11,989,033.41
  5. Step 5: Solve for x
    x = 11,989,033.41/3,786
  6. Step 6: Final answer
    x = 3,166.68

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Why These Related Problems?

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