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Finding the Fourth Proportional to 6,296.21, 8,688.87 and 3,463.71

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Solution

The fourth proportional to 6,296.21, 8,688.87 and 3,463.71 is: 4,779.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.21 : 8,688.87 = 3,463.71 : x
  2. Step 2: Convert to fraction form
    6,296.21/8,688.87 = 3,463.71/x
  3. Step 3: Cross multiply
    6,296.21x = 8,688.87 × 3,463.71
  4. Step 4: Simplify right side
    6,296.21x = 30,095,725.91
  5. Step 5: Solve for x
    x = 30,095,725.91/6,296.21
  6. Step 6: Final answer
    x = 4,779.97

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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.