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Finding the Fourth Proportional to 6,296.88, 8,689.52 and 3,502.40

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Solution

The fourth proportional to 6,296.88, 8,689.52 and 3,502.40 is: 4,833.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.88 : 8,689.52 = 3,502.40 : x
  2. Step 2: Convert to fraction form
    6,296.88/8,689.52 = 3,502.40/x
  3. Step 3: Cross multiply
    6,296.88x = 8,689.52 × 3,502.40
  4. Step 4: Simplify right side
    6,296.88x = 30,434,174.85
  5. Step 5: Solve for x
    x = 30,434,174.85/6,296.88
  6. Step 6: Final answer
    x = 4,833.21

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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.