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Finding the Fourth Proportional to 5,193.42, 7,167.46 and 3,069.64

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Solution

The fourth proportional to 5,193.42, 7,167.46 and 3,069.64 is: 4,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.42 : 7,167.46 = 3,069.64 : x
  2. Step 2: Convert to fraction form
    5,193.42/7,167.46 = 3,069.64/x
  3. Step 3: Cross multiply
    5,193.42x = 7,167.46 × 3,069.64
  4. Step 4: Simplify right side
    5,193.42x = 22,001,521.91
  5. Step 5: Solve for x
    x = 22,001,521.91/5,193.42
  6. Step 6: Final answer
    x = 4,236.42

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