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Finding the Fourth Proportional to 4,760.29, 7,141.12 and 2,293.08

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Solution

The fourth proportional to 4,760.29, 7,141.12 and 2,293.08 is: 3,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.29 : 7,141.12 = 2,293.08 : x
  2. Step 2: Convert to fraction form
    4,760.29/7,141.12 = 2,293.08/x
  3. Step 3: Cross multiply
    4,760.29x = 7,141.12 × 2,293.08
  4. Step 4: Simplify right side
    4,760.29x = 16,375,203.31
  5. Step 5: Solve for x
    x = 16,375,203.31/4,760.29
  6. Step 6: Final answer
    x = 3,439.96

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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.