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Finding the Fourth Proportional to 3,496.96, 4,820.48 and 2,375.68

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Solution

The fourth proportional to 3,496.96, 4,820.48 and 2,375.68 is: 3,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.96 : 4,820.48 = 2,375.68 : x
  2. Step 2: Convert to fraction form
    3,496.96/4,820.48 = 2,375.68/x
  3. Step 3: Cross multiply
    3,496.96x = 4,820.48 × 2,375.68
  4. Step 4: Simplify right side
    3,496.96x = 11,451,917.93
  5. Step 5: Solve for x
    x = 11,451,917.93/3,496.96
  6. Step 6: Final answer
    x = 3,274.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.