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Finding the Fourth Proportional to 6,447.12, 8,897.28 and 3,794.40

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Solution

The fourth proportional to 6,447.12, 8,897.28 and 3,794.40 is: 5,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.12 : 8,897.28 = 3,794.40 : x
  2. Step 2: Convert to fraction form
    6,447.12/8,897.28 = 3,794.40/x
  3. Step 3: Cross multiply
    6,447.12x = 8,897.28 × 3,794.40
  4. Step 4: Simplify right side
    6,447.12x = 33,759,839.23
  5. Step 5: Solve for x
    x = 33,759,839.23/6,447.12
  6. Step 6: Final answer
    x = 5,236.42

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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.