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Finding the Fourth Proportional to 4,731.66, 7,092.69 and 2,262.86

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Solution

The fourth proportional to 4,731.66, 7,092.69 and 2,262.86 is: 3,391.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.66 : 7,092.69 = 2,262.86 : x
  2. Step 2: Convert to fraction form
    4,731.66/7,092.69 = 2,262.86/x
  3. Step 3: Cross multiply
    4,731.66x = 7,092.69 × 2,262.86
  4. Step 4: Simplify right side
    4,731.66x = 16,049,764.49
  5. Step 5: Solve for x
    x = 16,049,764.49/4,731.66
  6. Step 6: Final answer
    x = 3,391.99

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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.