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Finding the Fourth Proportional to 6,296.54, 8,689.23 and 3,502.04

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Solution

The fourth proportional to 6,296.54, 8,689.23 and 3,502.04 is: 4,832.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.54 : 8,689.23 = 3,502.04 : x
  2. Step 2: Convert to fraction form
    6,296.54/8,689.23 = 3,502.04/x
  3. Step 3: Cross multiply
    6,296.54x = 8,689.23 × 3,502.04
  4. Step 4: Simplify right side
    6,296.54x = 30,429,987.58
  5. Step 5: Solve for x
    x = 30,429,987.58/6,296.54
  6. Step 6: Final answer
    x = 4,832.81

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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.