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Finding the Fourth Proportional to 4,163.96, 5,746.28 and 2,395.92

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Solution

The fourth proportional to 4,163.96, 5,746.28 and 2,395.92 is: 3,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.96 : 5,746.28 = 2,395.92 : x
  2. Step 2: Convert to fraction form
    4,163.96/5,746.28 = 2,395.92/x
  3. Step 3: Cross multiply
    4,163.96x = 5,746.28 × 2,395.92
  4. Step 4: Simplify right side
    4,163.96x = 13,767,627.18
  5. Step 5: Solve for x
    x = 13,767,627.18/4,163.96
  6. Step 6: Final answer
    x = 3,306.38

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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.