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Finding the Fourth Proportional to 3,697.92, 5,106.78 and 2,910.60

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Solution

The fourth proportional to 3,697.92, 5,106.78 and 2,910.60 is: 4,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.92 : 5,106.78 = 2,910.60 : x
  2. Step 2: Convert to fraction form
    3,697.92/5,106.78 = 2,910.60/x
  3. Step 3: Cross multiply
    3,697.92x = 5,106.78 × 2,910.60
  4. Step 4: Simplify right side
    3,697.92x = 14,863,793.87
  5. Step 5: Solve for x
    x = 14,863,793.87/3,697.92
  6. Step 6: Final answer
    x = 4,019.50

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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.