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Finding the Fourth Proportional to 6,568.08, 9,064.17 and 3,584.08

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Solution

The fourth proportional to 6,568.08, 9,064.17 and 3,584.08 is: 4,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.08 : 9,064.17 = 3,584.08 : x
  2. Step 2: Convert to fraction form
    6,568.08/9,064.17 = 3,584.08/x
  3. Step 3: Cross multiply
    6,568.08x = 9,064.17 × 3,584.08
  4. Step 4: Simplify right side
    6,568.08x = 32,486,727.36
  5. Step 5: Solve for x
    x = 32,486,727.36/6,568.08
  6. Step 6: Final answer
    x = 4,946.15

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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.