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Finding the Fourth Proportional to 3,772.27, 5,660.29 and 1,693.76

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Solution

The fourth proportional to 3,772.27, 5,660.29 and 1,693.76 is: 2,541.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.27 : 5,660.29 = 1,693.76 : x
  2. Step 2: Convert to fraction form
    3,772.27/5,660.29 = 1,693.76/x
  3. Step 3: Cross multiply
    3,772.27x = 5,660.29 × 1,693.76
  4. Step 4: Simplify right side
    3,772.27x = 9,587,172.79
  5. Step 5: Solve for x
    x = 9,587,172.79/3,772.27
  6. Step 6: Final answer
    x = 2,541.49

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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.