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Finding the Fourth Proportional to 6,296.74, 8,689.16 and 3,463.65

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Solution

The fourth proportional to 6,296.74, 8,689.16 and 3,463.65 is: 4,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.74 : 8,689.16 = 3,463.65 : x
  2. Step 2: Convert to fraction form
    6,296.74/8,689.16 = 3,463.65/x
  3. Step 3: Cross multiply
    6,296.74x = 8,689.16 × 3,463.65
  4. Step 4: Simplify right side
    6,296.74x = 30,096,224.30
  5. Step 5: Solve for x
    x = 30,096,224.30/6,296.74
  6. Step 6: Final answer
    x = 4,779.65

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Why These Related Problems?

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