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Finding the Fourth Proportional to 5,147.52, 7,722.48 and 1,684.56

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Solution

The fourth proportional to 5,147.52, 7,722.48 and 1,684.56 is: 2,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.52 : 7,722.48 = 1,684.56 : x
  2. Step 2: Convert to fraction form
    5,147.52/7,722.48 = 1,684.56/x
  3. Step 3: Cross multiply
    5,147.52x = 7,722.48 × 1,684.56
  4. Step 4: Simplify right side
    5,147.52x = 13,008,980.91
  5. Step 5: Solve for x
    x = 13,008,980.91/5,147.52
  6. Step 6: Final answer
    x = 2,527.23

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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.