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Finding the Fourth Proportional to 6,568.40, 9,064.40 and 3,584.28

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Solution

The fourth proportional to 6,568.40, 9,064.40 and 3,584.28 is: 4,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.40 : 9,064.40 = 3,584.28 : x
  2. Step 2: Convert to fraction form
    6,568.40/9,064.40 = 3,584.28/x
  3. Step 3: Cross multiply
    6,568.40x = 9,064.40 × 3,584.28
  4. Step 4: Simplify right side
    6,568.40x = 32,489,347.63
  5. Step 5: Solve for x
    x = 32,489,347.63/6,568.40
  6. Step 6: Final answer
    x = 4,946.31

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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.