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Finding the Fourth Proportional to 5,144.49, 7,719.54 and 2,182.47

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Solution

The fourth proportional to 5,144.49, 7,719.54 and 2,182.47 is: 3,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.49 : 7,719.54 = 2,182.47 : x
  2. Step 2: Convert to fraction form
    5,144.49/7,719.54 = 2,182.47/x
  3. Step 3: Cross multiply
    5,144.49x = 7,719.54 × 2,182.47
  4. Step 4: Simplify right side
    5,144.49x = 16,847,653.55
  5. Step 5: Solve for x
    x = 16,847,653.55/5,144.49
  6. Step 6: Final answer
    x = 3,274.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.