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Finding the Fourth Proportional to 5,829.81, 8,044.91 and 3,177.17

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Solution

The fourth proportional to 5,829.81, 8,044.91 and 3,177.17 is: 4,384.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.81 : 8,044.91 = 3,177.17 : x
  2. Step 2: Convert to fraction form
    5,829.81/8,044.91 = 3,177.17/x
  3. Step 3: Cross multiply
    5,829.81x = 8,044.91 × 3,177.17
  4. Step 4: Simplify right side
    5,829.81x = 25,560,002.51
  5. Step 5: Solve for x
    x = 25,560,002.51/5,829.81
  6. Step 6: Final answer
    x = 4,384.36

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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.