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Finding the Fourth Proportional to 6,104.64, 9,160.74 and 2,818.20

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Solution

The fourth proportional to 6,104.64, 9,160.74 and 2,818.20 is: 4,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.64 : 9,160.74 = 2,818.20 : x
  2. Step 2: Convert to fraction form
    6,104.64/9,160.74 = 2,818.20/x
  3. Step 3: Cross multiply
    6,104.64x = 9,160.74 × 2,818.20
  4. Step 4: Simplify right side
    6,104.64x = 25,816,797.47
  5. Step 5: Solve for x
    x = 25,816,797.47/6,104.64
  6. Step 6: Final answer
    x = 4,229.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.