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Finding the Fourth Proportional to 5,829.93, 8,747.28 and 4,277.84

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Solution

The fourth proportional to 5,829.93, 8,747.28 and 4,277.84 is: 6,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.93 : 8,747.28 = 4,277.84 : x
  2. Step 2: Convert to fraction form
    5,829.93/8,747.28 = 4,277.84/x
  3. Step 3: Cross multiply
    5,829.93x = 8,747.28 × 4,277.84
  4. Step 4: Simplify right side
    5,829.93x = 37,419,420.54
  5. Step 5: Solve for x
    x = 37,419,420.54/5,829.93
  6. Step 6: Final answer
    x = 6,418.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.