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Finding the Fourth Proportional to 5,829.54, 8,044.62 and 3,177

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Solution

The fourth proportional to 5,829.54, 8,044.62 and 3,177 is: 4,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.54 : 8,044.62 = 3,177 : x
  2. Step 2: Convert to fraction form
    5,829.54/8,044.62 = 3,177/x
  3. Step 3: Cross multiply
    5,829.54x = 8,044.62 × 3,177
  4. Step 4: Simplify right side
    5,829.54x = 25,557,757.74
  5. Step 5: Solve for x
    x = 25,557,757.74/5,829.54
  6. Step 6: Final answer
    x = 4,384.18

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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.