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Finding the Fourth Proportional to 5,829.75, 8,044.76 and 3,177.14

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Solution

The fourth proportional to 5,829.75, 8,044.76 and 3,177.14 is: 4,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.75 : 8,044.76 = 3,177.14 : x
  2. Step 2: Convert to fraction form
    5,829.75/8,044.76 = 3,177.14/x
  3. Step 3: Cross multiply
    5,829.75x = 8,044.76 × 3,177.14
  4. Step 4: Simplify right side
    5,829.75x = 25,559,272.68
  5. Step 5: Solve for x
    x = 25,559,272.68/5,829.75
  6. Step 6: Final answer
    x = 4,384.28

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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.