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Finding the Fourth Proportional to 5,770.86, 7,929.17 and 4,589.88

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Solution

The fourth proportional to 5,770.86, 7,929.17 and 4,589.88 is: 6,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.86 : 7,929.17 = 4,589.88 : x
  2. Step 2: Convert to fraction form
    5,770.86/7,929.17 = 4,589.88/x
  3. Step 3: Cross multiply
    5,770.86x = 7,929.17 × 4,589.88
  4. Step 4: Simplify right side
    5,770.86x = 36,393,915.85
  5. Step 5: Solve for x
    x = 36,393,915.85/5,770.86
  6. Step 6: Final answer
    x = 6,306.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.