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Finding the Fourth Proportional to 5,096, 7,645.28 and 1,448

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Solution

The fourth proportional to 5,096, 7,645.28 and 1,448 is: 2,172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096 : 7,645.28 = 1,448 : x
  2. Step 2: Convert to fraction form
    5,096/7,645.28 = 1,448/x
  3. Step 3: Cross multiply
    5,096x = 7,645.28 × 1,448
  4. Step 4: Simplify right side
    5,096x = 11,070,365.44
  5. Step 5: Solve for x
    x = 11,070,365.44/5,096
  6. Step 6: Final answer
    x = 2,172.36

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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.