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Finding the Fourth Proportional to 4,128.46, 5,694.08 and 2,869.50

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Solution

The fourth proportional to 4,128.46, 5,694.08 and 2,869.50 is: 3,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,128.46 : 5,694.08 = 2,869.50 : x
  2. Step 2: Convert to fraction form
    4,128.46/5,694.08 = 2,869.50/x
  3. Step 3: Cross multiply
    4,128.46x = 5,694.08 × 2,869.50
  4. Step 4: Simplify right side
    4,128.46x = 16,339,162.56
  5. Step 5: Solve for x
    x = 16,339,162.56/4,128.46
  6. Step 6: Final answer
    x = 3,957.69

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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.