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Finding the Fourth Proportional to 3,957.07, 5,932.87 and 2,847.18

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Solution

The fourth proportional to 3,957.07, 5,932.87 and 2,847.18 is: 4,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.07 : 5,932.87 = 2,847.18 : x
  2. Step 2: Convert to fraction form
    3,957.07/5,932.87 = 2,847.18/x
  3. Step 3: Cross multiply
    3,957.07x = 5,932.87 × 2,847.18
  4. Step 4: Simplify right side
    3,957.07x = 16,891,948.81
  5. Step 5: Solve for x
    x = 16,891,948.81/3,957.07
  6. Step 6: Final answer
    x = 4,268.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.