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Finding the Fourth Proportional to 5,180.77, 7,149.63 and 2,823.09

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Solution

The fourth proportional to 5,180.77, 7,149.63 and 2,823.09 is: 3,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.77 : 7,149.63 = 2,823.09 : x
  2. Step 2: Convert to fraction form
    5,180.77/7,149.63 = 2,823.09/x
  3. Step 3: Cross multiply
    5,180.77x = 7,149.63 × 2,823.09
  4. Step 4: Simplify right side
    5,180.77x = 20,184,048.96
  5. Step 5: Solve for x
    x = 20,184,048.96/5,180.77
  6. Step 6: Final answer
    x = 3,895.96

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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.