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Finding the Fourth Proportional to 5,180.86, 7,149.59 and 2,823

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Solution

The fourth proportional to 5,180.86, 7,149.59 and 2,823 is: 3,895.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.86 : 7,149.59 = 2,823 : x
  2. Step 2: Convert to fraction form
    5,180.86/7,149.59 = 2,823/x
  3. Step 3: Cross multiply
    5,180.86x = 7,149.59 × 2,823
  4. Step 4: Simplify right side
    5,180.86x = 20,183,292.57
  5. Step 5: Solve for x
    x = 20,183,292.57/5,180.86
  6. Step 6: Final answer
    x = 3,895.74

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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.