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Finding the Fourth Proportional to 5,193.64, 7,169.42 and 3,422.16

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Solution

The fourth proportional to 5,193.64, 7,169.42 and 3,422.16 is: 4,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.64 : 7,169.42 = 3,422.16 : x
  2. Step 2: Convert to fraction form
    5,193.64/7,169.42 = 3,422.16/x
  3. Step 3: Cross multiply
    5,193.64x = 7,169.42 × 3,422.16
  4. Step 4: Simplify right side
    5,193.64x = 24,534,902.35
  5. Step 5: Solve for x
    x = 24,534,902.35/5,193.64
  6. Step 6: Final answer
    x = 4,724.03

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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.