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Finding the Fourth Proportional to 5,255.66, 7,252.77 and 2,865.64

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Solution

The fourth proportional to 5,255.66, 7,252.77 and 2,865.64 is: 3,954.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.66 : 7,252.77 = 2,865.64 : x
  2. Step 2: Convert to fraction form
    5,255.66/7,252.77 = 2,865.64/x
  3. Step 3: Cross multiply
    5,255.66x = 7,252.77 × 2,865.64
  4. Step 4: Simplify right side
    5,255.66x = 20,783,827.82
  5. Step 5: Solve for x
    x = 20,783,827.82/5,255.66
  6. Step 6: Final answer
    x = 3,954.56

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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.