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Finding the Fourth Proportional to 3,397.73, 5,097 and 1,206.02

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Solution

The fourth proportional to 3,397.73, 5,097 and 1,206.02 is: 1,809.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.73 : 5,097 = 1,206.02 : x
  2. Step 2: Convert to fraction form
    3,397.73/5,097 = 1,206.02/x
  3. Step 3: Cross multiply
    3,397.73x = 5,097 × 1,206.02
  4. Step 4: Simplify right side
    3,397.73x = 6,147,083.94
  5. Step 5: Solve for x
    x = 6,147,083.94/3,397.73
  6. Step 6: Final answer
    x = 1,809.17

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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.