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Finding the Fourth Proportional to 6,589.79, 9,884.69 and 1,659.39

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Solution

The fourth proportional to 6,589.79, 9,884.69 and 1,659.39 is: 2,489.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.79 : 9,884.69 = 1,659.39 : x
  2. Step 2: Convert to fraction form
    6,589.79/9,884.69 = 1,659.39/x
  3. Step 3: Cross multiply
    6,589.79x = 9,884.69 × 1,659.39
  4. Step 4: Simplify right side
    6,589.79x = 16,402,600.07
  5. Step 5: Solve for x
    x = 16,402,600.07/6,589.79
  6. Step 6: Final answer
    x = 2,489.09

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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.