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Finding the Fourth Proportional to 4,223.93, 6,329.98 and 2,000.41

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Solution

The fourth proportional to 4,223.93, 6,329.98 and 2,000.41 is: 2,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.93 : 6,329.98 = 2,000.41 : x
  2. Step 2: Convert to fraction form
    4,223.93/6,329.98 = 2,000.41/x
  3. Step 3: Cross multiply
    4,223.93x = 6,329.98 × 2,000.41
  4. Step 4: Simplify right side
    4,223.93x = 12,662,545.29
  5. Step 5: Solve for x
    x = 12,662,545.29/4,223.93
  6. Step 6: Final answer
    x = 2,997.81

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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.