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Finding the Fourth Proportional to 3,397.69, 5,098.27 and 1,548.56

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Solution

The fourth proportional to 3,397.69, 5,098.27 and 1,548.56 is: 2,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.69 : 5,098.27 = 1,548.56 : x
  2. Step 2: Convert to fraction form
    3,397.69/5,098.27 = 1,548.56/x
  3. Step 3: Cross multiply
    3,397.69x = 5,098.27 × 1,548.56
  4. Step 4: Simplify right side
    3,397.69x = 7,894,983.93
  5. Step 5: Solve for x
    x = 7,894,983.93/3,397.69
  6. Step 6: Final answer
    x = 2,323.64

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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.