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Finding the Fourth Proportional to 6,548.54, 9,033.90 and 3,894.44

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Solution

The fourth proportional to 6,548.54, 9,033.90 and 3,894.44 is: 5,372.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.54 : 9,033.90 = 3,894.44 : x
  2. Step 2: Convert to fraction form
    6,548.54/9,033.90 = 3,894.44/x
  3. Step 3: Cross multiply
    6,548.54x = 9,033.90 × 3,894.44
  4. Step 4: Simplify right side
    6,548.54x = 35,181,981.52
  5. Step 5: Solve for x
    x = 35,181,981.52/6,548.54
  6. Step 6: Final answer
    x = 5,372.49

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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.