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Finding the Fourth Proportional to 6,568.44, 9,064.50 and 3,584.30

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Solution

The fourth proportional to 6,568.44, 9,064.50 and 3,584.30 is: 4,946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.44 : 9,064.50 = 3,584.30 : x
  2. Step 2: Convert to fraction form
    6,568.44/9,064.50 = 3,584.30/x
  3. Step 3: Cross multiply
    6,568.44x = 9,064.50 × 3,584.30
  4. Step 4: Simplify right side
    6,568.44x = 32,489,828.59
  5. Step 5: Solve for x
    x = 32,489,828.59/6,568.44
  6. Step 6: Final answer
    x = 4,946.36

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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.