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Finding the Fourth Proportional to 6,568.68, 9,064.48 and 3,584.52

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Solution

The fourth proportional to 6,568.68, 9,064.48 and 3,584.52 is: 4,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.68 : 9,064.48 = 3,584.52 : x
  2. Step 2: Convert to fraction form
    6,568.68/9,064.48 = 3,584.52/x
  3. Step 3: Cross multiply
    6,568.68x = 9,064.48 × 3,584.52
  4. Step 4: Simplify right side
    6,568.68x = 32,491,809.85
  5. Step 5: Solve for x
    x = 32,491,809.85/6,568.68
  6. Step 6: Final answer
    x = 4,946.47

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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.