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Finding the Fourth Proportional to 6,296.50, 8,689.26 and 3,464

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Solution

The fourth proportional to 6,296.50, 8,689.26 and 3,464 is: 4,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.50 : 8,689.26 = 3,464 : x
  2. Step 2: Convert to fraction form
    6,296.50/8,689.26 = 3,464/x
  3. Step 3: Cross multiply
    6,296.50x = 8,689.26 × 3,464
  4. Step 4: Simplify right side
    6,296.50x = 30,099,596.64
  5. Step 5: Solve for x
    x = 30,099,596.64/6,296.50
  6. Step 6: Final answer
    x = 4,780.37

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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.