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Finding the Fourth Proportional to 6,269.76, 8,652.26 and 3,475.26

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Solution

The fourth proportional to 6,269.76, 8,652.26 and 3,475.26 is: 4,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.76 : 8,652.26 = 3,475.26 : x
  2. Step 2: Convert to fraction form
    6,269.76/8,652.26 = 3,475.26/x
  3. Step 3: Cross multiply
    6,269.76x = 8,652.26 × 3,475.26
  4. Step 4: Simplify right side
    6,269.76x = 30,068,853.09
  5. Step 5: Solve for x
    x = 30,068,853.09/6,269.76
  6. Step 6: Final answer
    x = 4,795.85

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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.