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Finding the Fourth Proportional to 5,781.50, 8,674.88 and 2,450.66

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Solution

The fourth proportional to 5,781.50, 8,674.88 and 2,450.66 is: 3,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.50 : 8,674.88 = 2,450.66 : x
  2. Step 2: Convert to fraction form
    5,781.50/8,674.88 = 2,450.66/x
  3. Step 3: Cross multiply
    5,781.50x = 8,674.88 × 2,450.66
  4. Step 4: Simplify right side
    5,781.50x = 21,259,181.42
  5. Step 5: Solve for x
    x = 21,259,181.42/5,781.50
  6. Step 6: Final answer
    x = 3,677.10

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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.