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Finding the Fourth Proportional to 6,519.68, 9,779.49 and 1,589.30

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Solution

The fourth proportional to 6,519.68, 9,779.49 and 1,589.30 is: 2,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.68 : 9,779.49 = 1,589.30 : x
  2. Step 2: Convert to fraction form
    6,519.68/9,779.49 = 1,589.30/x
  3. Step 3: Cross multiply
    6,519.68x = 9,779.49 × 1,589.30
  4. Step 4: Simplify right side
    6,519.68x = 15,542,543.46
  5. Step 5: Solve for x
    x = 15,542,543.46/6,519.68
  6. Step 6: Final answer
    x = 2,383.94

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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.