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Finding the Fourth Proportional to 6,228.90, 8,597.14 and 3,578.12

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Solution

The fourth proportional to 6,228.90, 8,597.14 and 3,578.12 is: 4,938.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.90 : 8,597.14 = 3,578.12 : x
  2. Step 2: Convert to fraction form
    6,228.90/8,597.14 = 3,578.12/x
  3. Step 3: Cross multiply
    6,228.90x = 8,597.14 × 3,578.12
  4. Step 4: Simplify right side
    6,228.90x = 30,761,598.58
  5. Step 5: Solve for x
    x = 30,761,598.58/6,228.90
  6. Step 6: Final answer
    x = 4,938.53

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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.