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Finding the Fourth Proportional to 3,732.76, 5,599.86 and 1,268

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Solution

The fourth proportional to 3,732.76, 5,599.86 and 1,268 is: 1,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732.76 : 5,599.86 = 1,268 : x
  2. Step 2: Convert to fraction form
    3,732.76/5,599.86 = 1,268/x
  3. Step 3: Cross multiply
    3,732.76x = 5,599.86 × 1,268
  4. Step 4: Simplify right side
    3,732.76x = 7,100,622.48
  5. Step 5: Solve for x
    x = 7,100,622.48/3,732.76
  6. Step 6: Final answer
    x = 1,902.24

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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.