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Finding the Fourth Proportional to 4,777.46, 7,162.44 and 2,311.61

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Solution

The fourth proportional to 4,777.46, 7,162.44 and 2,311.61 is: 3,465.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.46 : 7,162.44 = 2,311.61 : x
  2. Step 2: Convert to fraction form
    4,777.46/7,162.44 = 2,311.61/x
  3. Step 3: Cross multiply
    4,777.46x = 7,162.44 × 2,311.61
  4. Step 4: Simplify right side
    4,777.46x = 16,556,767.93
  5. Step 5: Solve for x
    x = 16,556,767.93/4,777.46
  6. Step 6: Final answer
    x = 3,465.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.