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Finding the Fourth Proportional to 6,231.33, 8,598.69 and 3,578.58

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Solution

The fourth proportional to 6,231.33, 8,598.69 and 3,578.58 is: 4,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.33 : 8,598.69 = 3,578.58 : x
  2. Step 2: Convert to fraction form
    6,231.33/8,598.69 = 3,578.58/x
  3. Step 3: Cross multiply
    6,231.33x = 8,598.69 × 3,578.58
  4. Step 4: Simplify right side
    6,231.33x = 30,771,100.06
  5. Step 5: Solve for x
    x = 30,771,100.06/6,231.33
  6. Step 6: Final answer
    x = 4,938.13

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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.