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Finding the Fourth Proportional to 5,190.68, 7,784.34 and 1,727

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Solution

The fourth proportional to 5,190.68, 7,784.34 and 1,727 is: 2,589.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.68 : 7,784.34 = 1,727 : x
  2. Step 2: Convert to fraction form
    5,190.68/7,784.34 = 1,727/x
  3. Step 3: Cross multiply
    5,190.68x = 7,784.34 × 1,727
  4. Step 4: Simplify right side
    5,190.68x = 13,443,555.18
  5. Step 5: Solve for x
    x = 13,443,555.18/5,190.68
  6. Step 6: Final answer
    x = 2,589.94

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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.