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Finding the Fourth Proportional to 5,147.20, 7,720.08 and 1,684

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Solution

The fourth proportional to 5,147.20, 7,720.08 and 1,684 is: 2,525.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.20 : 7,720.08 = 1,684 : x
  2. Step 2: Convert to fraction form
    5,147.20/7,720.08 = 1,684/x
  3. Step 3: Cross multiply
    5,147.20x = 7,720.08 × 1,684
  4. Step 4: Simplify right side
    5,147.20x = 13,000,614.72
  5. Step 5: Solve for x
    x = 13,000,614.72/5,147.20
  6. Step 6: Final answer
    x = 2,525.76

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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.