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Finding the Fourth Proportional to 5,076.27, 6,998.54 and 3,658.77

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Solution

The fourth proportional to 5,076.27, 6,998.54 and 3,658.77 is: 5,044.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,076.27 : 6,998.54 = 3,658.77 : x
  2. Step 2: Convert to fraction form
    5,076.27/6,998.54 = 3,658.77/x
  3. Step 3: Cross multiply
    5,076.27x = 6,998.54 × 3,658.77
  4. Step 4: Simplify right side
    5,076.27x = 25,606,029.90
  5. Step 5: Solve for x
    x = 25,606,029.90/5,076.27
  6. Step 6: Final answer
    x = 5,044.26

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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.