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Finding the Fourth Proportional to 6,128.47, 8,452.38 and 4,003.84

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Solution

The fourth proportional to 6,128.47, 8,452.38 and 4,003.84 is: 5,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.47 : 8,452.38 = 4,003.84 : x
  2. Step 2: Convert to fraction form
    6,128.47/8,452.38 = 4,003.84/x
  3. Step 3: Cross multiply
    6,128.47x = 8,452.38 × 4,003.84
  4. Step 4: Simplify right side
    6,128.47x = 33,841,977.14
  5. Step 5: Solve for x
    x = 33,841,977.14/6,128.47
  6. Step 6: Final answer
    x = 5,522.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.