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Finding the Fourth Proportional to 5,733.60, 7,913.10 and 3,375.96

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Solution

The fourth proportional to 5,733.60, 7,913.10 and 3,375.96 is: 4,659.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.60 : 7,913.10 = 3,375.96 : x
  2. Step 2: Convert to fraction form
    5,733.60/7,913.10 = 3,375.96/x
  3. Step 3: Cross multiply
    5,733.60x = 7,913.10 × 3,375.96
  4. Step 4: Simplify right side
    5,733.60x = 26,714,309.08
  5. Step 5: Solve for x
    x = 26,714,309.08/5,733.60
  6. Step 6: Final answer
    x = 4,659.26

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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.