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Finding the Fourth Proportional to 6,519.60, 9,779.44 and 1,589.28

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Solution

The fourth proportional to 6,519.60, 9,779.44 and 1,589.28 is: 2,383.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.60 : 9,779.44 = 1,589.28 : x
  2. Step 2: Convert to fraction form
    6,519.60/9,779.44 = 1,589.28/x
  3. Step 3: Cross multiply
    6,519.60x = 9,779.44 × 1,589.28
  4. Step 4: Simplify right side
    6,519.60x = 15,542,268.40
  5. Step 5: Solve for x
    x = 15,542,268.40/6,519.60
  6. Step 6: Final answer
    x = 2,383.93

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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.