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Finding the Fourth Proportional to 5,678.24, 8,519.10 and 2,906.87

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Solution

The fourth proportional to 5,678.24, 8,519.10 and 2,906.87 is: 4,361.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.24 : 8,519.10 = 2,906.87 : x
  2. Step 2: Convert to fraction form
    5,678.24/8,519.10 = 2,906.87/x
  3. Step 3: Cross multiply
    5,678.24x = 8,519.10 × 2,906.87
  4. Step 4: Simplify right side
    5,678.24x = 24,763,926.61
  5. Step 5: Solve for x
    x = 24,763,926.61/5,678.24
  6. Step 6: Final answer
    x = 4,361.20

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