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Finding the Fourth Proportional to 5,147.02, 7,721.34 and 1,684

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Solution

The fourth proportional to 5,147.02, 7,721.34 and 1,684 is: 2,526.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.02 : 7,721.34 = 1,684 : x
  2. Step 2: Convert to fraction form
    5,147.02/7,721.34 = 1,684/x
  3. Step 3: Cross multiply
    5,147.02x = 7,721.34 × 1,684
  4. Step 4: Simplify right side
    5,147.02x = 13,002,736.56
  5. Step 5: Solve for x
    x = 13,002,736.56/5,147.02
  6. Step 6: Final answer
    x = 2,526.27

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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.