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Finding the Fourth Proportional to 4,220.99, 5,827.32 and 2,806.61

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Solution

The fourth proportional to 4,220.99, 5,827.32 and 2,806.61 is: 3,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.99 : 5,827.32 = 2,806.61 : x
  2. Step 2: Convert to fraction form
    4,220.99/5,827.32 = 2,806.61/x
  3. Step 3: Cross multiply
    4,220.99x = 5,827.32 × 2,806.61
  4. Step 4: Simplify right side
    4,220.99x = 16,355,018.53
  5. Step 5: Solve for x
    x = 16,355,018.53/4,220.99
  6. Step 6: Final answer
    x = 3,874.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.