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Finding the Fourth Proportional to 5,089.50, 7,613.15 and 4,778.46

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Solution

The fourth proportional to 5,089.50, 7,613.15 and 4,778.46 is: 7,147.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,089.50 : 7,613.15 = 4,778.46 : x
  2. Step 2: Convert to fraction form
    5,089.50/7,613.15 = 4,778.46/x
  3. Step 3: Cross multiply
    5,089.50x = 7,613.15 × 4,778.46
  4. Step 4: Simplify right side
    5,089.50x = 36,379,108.86
  5. Step 5: Solve for x
    x = 36,379,108.86/5,089.50
  6. Step 6: Final answer
    x = 7,147.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.