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Finding the Fourth Proportional to 5,889.29, 8,820.50 and 2,813.45

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Solution

The fourth proportional to 5,889.29, 8,820.50 and 2,813.45 is: 4,213.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.29 : 8,820.50 = 2,813.45 : x
  2. Step 2: Convert to fraction form
    5,889.29/8,820.50 = 2,813.45/x
  3. Step 3: Cross multiply
    5,889.29x = 8,820.50 × 2,813.45
  4. Step 4: Simplify right side
    5,889.29x = 24,816,021.66
  5. Step 5: Solve for x
    x = 24,816,021.66/5,889.29
  6. Step 6: Final answer
    x = 4,213.75

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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.