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Finding the Fourth Proportional to 3,431.27, 4,731.68 and 3,051.96

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Solution

The fourth proportional to 3,431.27, 4,731.68 and 3,051.96 is: 4,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.27 : 4,731.68 = 3,051.96 : x
  2. Step 2: Convert to fraction form
    3,431.27/4,731.68 = 3,051.96/x
  3. Step 3: Cross multiply
    3,431.27x = 4,731.68 × 3,051.96
  4. Step 4: Simplify right side
    3,431.27x = 14,440,882.83
  5. Step 5: Solve for x
    x = 14,440,882.83/3,431.27
  6. Step 6: Final answer
    x = 4,208.62

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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.