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Finding the Fourth Proportional to 3,792.27, 5,689.50 and 1,601.34

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Solution

The fourth proportional to 3,792.27, 5,689.50 and 1,601.34 is: 2,402.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.27 : 5,689.50 = 1,601.34 : x
  2. Step 2: Convert to fraction form
    3,792.27/5,689.50 = 1,601.34/x
  3. Step 3: Cross multiply
    3,792.27x = 5,689.50 × 1,601.34
  4. Step 4: Simplify right side
    3,792.27x = 9,110,823.93
  5. Step 5: Solve for x
    x = 9,110,823.93/3,792.27
  6. Step 6: Final answer
    x = 2,402.47

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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.