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Finding the Fourth Proportional to 6,194.14, 8,552.19 and 4,512.58

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Solution

The fourth proportional to 6,194.14, 8,552.19 and 4,512.58 is: 6,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.14 : 8,552.19 = 4,512.58 : x
  2. Step 2: Convert to fraction form
    6,194.14/8,552.19 = 4,512.58/x
  3. Step 3: Cross multiply
    6,194.14x = 8,552.19 × 4,512.58
  4. Step 4: Simplify right side
    6,194.14x = 38,592,441.55
  5. Step 5: Solve for x
    x = 38,592,441.55/6,194.14
  6. Step 6: Final answer
    x = 6,230.48

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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.