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Finding the Fourth Proportional to 6,296.28, 8,689.58 and 3,779.20

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Solution

The fourth proportional to 6,296.28, 8,689.58 and 3,779.20 is: 5,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.28 : 8,689.58 = 3,779.20 : x
  2. Step 2: Convert to fraction form
    6,296.28/8,689.58 = 3,779.20/x
  3. Step 3: Cross multiply
    6,296.28x = 8,689.58 × 3,779.20
  4. Step 4: Simplify right side
    6,296.28x = 32,839,660.74
  5. Step 5: Solve for x
    x = 32,839,660.74/6,296.28
  6. Step 6: Final answer
    x = 5,215.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.