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Finding the Fourth Proportional to 4,099.66, 6,152.04 and 1,908.58

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Solution

The fourth proportional to 4,099.66, 6,152.04 and 1,908.58 is: 2,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.66 : 6,152.04 = 1,908.58 : x
  2. Step 2: Convert to fraction form
    4,099.66/6,152.04 = 1,908.58/x
  3. Step 3: Cross multiply
    4,099.66x = 6,152.04 × 1,908.58
  4. Step 4: Simplify right side
    4,099.66x = 11,741,660.50
  5. Step 5: Solve for x
    x = 11,741,660.50/4,099.66
  6. Step 6: Final answer
    x = 2,864.06

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Why These Related Problems?

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