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Finding the Fourth Proportional to 3,497.28, 5,246.68 and 1,938.72

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Solution

The fourth proportional to 3,497.28, 5,246.68 and 1,938.72 is: 2,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.28 : 5,246.68 = 1,938.72 : x
  2. Step 2: Convert to fraction form
    3,497.28/5,246.68 = 1,938.72/x
  3. Step 3: Cross multiply
    3,497.28x = 5,246.68 × 1,938.72
  4. Step 4: Simplify right side
    3,497.28x = 10,171,843.45
  5. Step 5: Solve for x
    x = 10,171,843.45/3,497.28
  6. Step 6: Final answer
    x = 2,908.50

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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.