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Finding the Fourth Proportional to 6,230.60, 8,598.42 and 3,578.54

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Solution

The fourth proportional to 6,230.60, 8,598.42 and 3,578.54 is: 4,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.60 : 8,598.42 = 3,578.54 : x
  2. Step 2: Convert to fraction form
    6,230.60/8,598.42 = 3,578.54/x
  3. Step 3: Cross multiply
    6,230.60x = 8,598.42 × 3,578.54
  4. Step 4: Simplify right side
    6,230.60x = 30,769,789.91
  5. Step 5: Solve for x
    x = 30,769,789.91/6,230.60
  6. Step 6: Final answer
    x = 4,938.50

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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.