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Finding the Fourth Proportional to 3,829.95, 5,747.49 and 1,639.22

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Solution

The fourth proportional to 3,829.95, 5,747.49 and 1,639.22 is: 2,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.95 : 5,747.49 = 1,639.22 : x
  2. Step 2: Convert to fraction form
    3,829.95/5,747.49 = 1,639.22/x
  3. Step 3: Cross multiply
    3,829.95x = 5,747.49 × 1,639.22
  4. Step 4: Simplify right side
    3,829.95x = 9,421,371.82
  5. Step 5: Solve for x
    x = 9,421,371.82/3,829.95
  6. Step 6: Final answer
    x = 2,459.92

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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.