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Finding the Fourth Proportional to 3,792.10, 5,690.43 and 1,600.72

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Solution

The fourth proportional to 3,792.10, 5,690.43 and 1,600.72 is: 2,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.10 : 5,690.43 = 1,600.72 : x
  2. Step 2: Convert to fraction form
    3,792.10/5,690.43 = 1,600.72/x
  3. Step 3: Cross multiply
    3,792.10x = 5,690.43 × 1,600.72
  4. Step 4: Simplify right side
    3,792.10x = 9,108,785.11
  5. Step 5: Solve for x
    x = 9,108,785.11/3,792.10
  6. Step 6: Final answer
    x = 2,402.04

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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.