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Finding the Fourth Proportional to 6,269.68, 8,652.34 and 3,475.20

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Solution

The fourth proportional to 6,269.68, 8,652.34 and 3,475.20 is: 4,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.68 : 8,652.34 = 3,475.20 : x
  2. Step 2: Convert to fraction form
    6,269.68/8,652.34 = 3,475.20/x
  3. Step 3: Cross multiply
    6,269.68x = 8,652.34 × 3,475.20
  4. Step 4: Simplify right side
    6,269.68x = 30,068,611.97
  5. Step 5: Solve for x
    x = 30,068,611.97/6,269.68
  6. Step 6: Final answer
    x = 4,795.88

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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.