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Finding the Fourth Proportional to 3,473.46, 4,790.01 and 2,942.30

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Solution

The fourth proportional to 3,473.46, 4,790.01 and 2,942.30 is: 4,057.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.46 : 4,790.01 = 2,942.30 : x
  2. Step 2: Convert to fraction form
    3,473.46/4,790.01 = 2,942.30/x
  3. Step 3: Cross multiply
    3,473.46x = 4,790.01 × 2,942.30
  4. Step 4: Simplify right side
    3,473.46x = 14,093,622.47
  5. Step 5: Solve for x
    x = 14,093,622.47/3,473.46
  6. Step 6: Final answer
    x = 4,057.52

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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.