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Finding the Fourth Proportional to 5,244.16, 7,234 and 3,147.84

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Solution

The fourth proportional to 5,244.16, 7,234 and 3,147.84 is: 4,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,244.16 : 7,234 = 3,147.84 : x
  2. Step 2: Convert to fraction form
    5,244.16/7,234 = 3,147.84/x
  3. Step 3: Cross multiply
    5,244.16x = 7,234 × 3,147.84
  4. Step 4: Simplify right side
    5,244.16x = 22,771,474.56
  5. Step 5: Solve for x
    x = 22,771,474.56/5,244.16
  6. Step 6: Final answer
    x = 4,342.25

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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.