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Finding the Fourth Proportional to 5,367.64, 8,047.80 and 3,394.48

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Solution

The fourth proportional to 5,367.64, 8,047.80 and 3,394.48 is: 5,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.64 : 8,047.80 = 3,394.48 : x
  2. Step 2: Convert to fraction form
    5,367.64/8,047.80 = 3,394.48/x
  3. Step 3: Cross multiply
    5,367.64x = 8,047.80 × 3,394.48
  4. Step 4: Simplify right side
    5,367.64x = 27,318,096.14
  5. Step 5: Solve for x
    x = 27,318,096.14/5,367.64
  6. Step 6: Final answer
    x = 5,089.41

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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.