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Finding the Fourth Proportional to 5,076.24, 7,616.64 and 1,791.72

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Solution

The fourth proportional to 5,076.24, 7,616.64 and 1,791.72 is: 2,688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.24 : 7,616.64 = 1,791.72 : x
  2. Step 2: Convert to fraction form
    5,076.24/7,616.64 = 1,791.72/x
  3. Step 3: Cross multiply
    5,076.24x = 7,616.64 × 1,791.72
  4. Step 4: Simplify right side
    5,076.24x = 13,646,886.22
  5. Step 5: Solve for x
    x = 13,646,886.22/5,076.24
  6. Step 6: Final answer
    x = 2,688.38

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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.