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Finding the Fourth Proportional to 3,182.22, 4,737.69 and 3,166.83

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Solution

The fourth proportional to 3,182.22, 4,737.69 and 3,166.83 is: 4,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.22 : 4,737.69 = 3,166.83 : x
  2. Step 2: Convert to fraction form
    3,182.22/4,737.69 = 3,166.83/x
  3. Step 3: Cross multiply
    3,182.22x = 4,737.69 × 3,166.83
  4. Step 4: Simplify right side
    3,182.22x = 15,003,458.82
  5. Step 5: Solve for x
    x = 15,003,458.82/3,182.22
  6. Step 6: Final answer
    x = 4,714.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.