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Finding the Fourth Proportional to 6,230.85, 8,598.77 and 3,578.79

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Solution

The fourth proportional to 6,230.85, 8,598.77 and 3,578.79 is: 4,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.85 : 8,598.77 = 3,578.79 : x
  2. Step 2: Convert to fraction form
    6,230.85/8,598.77 = 3,578.79/x
  3. Step 3: Cross multiply
    6,230.85x = 8,598.77 × 3,578.79
  4. Step 4: Simplify right side
    6,230.85x = 30,773,174.19
  5. Step 5: Solve for x
    x = 30,773,174.19/6,230.85
  6. Step 6: Final answer
    x = 4,938.84

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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.