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Finding the Fourth Proportional to 6,193.28, 8,548.22 and 3,834

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Solution

The fourth proportional to 6,193.28, 8,548.22 and 3,834 is: 5,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.28 : 8,548.22 = 3,834 : x
  2. Step 2: Convert to fraction form
    6,193.28/8,548.22 = 3,834/x
  3. Step 3: Cross multiply
    6,193.28x = 8,548.22 × 3,834
  4. Step 4: Simplify right side
    6,193.28x = 32,773,875.48
  5. Step 5: Solve for x
    x = 32,773,875.48/6,193.28
  6. Step 6: Final answer
    x = 5,291.84

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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.