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Finding the Fourth Proportional to 4,096, 6,132.80 and 2,864.64

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Solution

The fourth proportional to 4,096, 6,132.80 and 2,864.64 is: 4,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 6,132.80 = 2,864.64 : x
  2. Step 2: Convert to fraction form
    4,096/6,132.80 = 2,864.64/x
  3. Step 3: Cross multiply
    4,096x = 6,132.80 × 2,864.64
  4. Step 4: Simplify right side
    4,096x = 17,568,264.19
  5. Step 5: Solve for x
    x = 17,568,264.19/4,096
  6. Step 6: Final answer
    x = 4,289.13

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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.