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Finding the Fourth Proportional to 3,397.34, 5,096.49 and 1,205.55

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Solution

The fourth proportional to 3,397.34, 5,096.49 and 1,205.55 is: 1,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.34 : 5,096.49 = 1,205.55 : x
  2. Step 2: Convert to fraction form
    3,397.34/5,096.49 = 1,205.55/x
  3. Step 3: Cross multiply
    3,397.34x = 5,096.49 × 1,205.55
  4. Step 4: Simplify right side
    3,397.34x = 6,144,069.00
  5. Step 5: Solve for x
    x = 6,144,069.00/3,397.34
  6. Step 6: Final answer
    x = 1,808.49

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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.