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Finding the Fourth Proportional to 3,497.54, 4,825.98 and 2,833.25

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Solution

The fourth proportional to 3,497.54, 4,825.98 and 2,833.25 is: 3,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.54 : 4,825.98 = 2,833.25 : x
  2. Step 2: Convert to fraction form
    3,497.54/4,825.98 = 2,833.25/x
  3. Step 3: Cross multiply
    3,497.54x = 4,825.98 × 2,833.25
  4. Step 4: Simplify right side
    3,497.54x = 13,673,183.71
  5. Step 5: Solve for x
    x = 13,673,183.71/3,497.54
  6. Step 6: Final answer
    x = 3,909.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.