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Finding the Fourth Proportional to 3,397.34, 5,096 and 2,242.82

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Solution

The fourth proportional to 3,397.34, 5,096 and 2,242.82 is: 3,364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.34 : 5,096 = 2,242.82 : x
  2. Step 2: Convert to fraction form
    3,397.34/5,096 = 2,242.82/x
  3. Step 3: Cross multiply
    3,397.34x = 5,096 × 2,242.82
  4. Step 4: Simplify right side
    3,397.34x = 11,429,385.24
  5. Step 5: Solve for x
    x = 11,429,385.24/3,397.34
  6. Step 6: Final answer
    x = 3,364.22

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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.