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Finding the Fourth Proportional to 5,943.42, 8,909.83 and 2,821.50

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Solution

The fourth proportional to 5,943.42, 8,909.83 and 2,821.50 is: 4,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.42 : 8,909.83 = 2,821.50 : x
  2. Step 2: Convert to fraction form
    5,943.42/8,909.83 = 2,821.50/x
  3. Step 3: Cross multiply
    5,943.42x = 8,909.83 × 2,821.50
  4. Step 4: Simplify right side
    5,943.42x = 25,139,085.35
  5. Step 5: Solve for x
    x = 25,139,085.35/5,943.42
  6. Step 6: Final answer
    x = 4,229.73

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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.