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Finding the Fourth Proportional to 3,321.54, 4,583.25 and 1,829.45

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Solution

The fourth proportional to 3,321.54, 4,583.25 and 1,829.45 is: 2,524.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,321.54 : 4,583.25 = 1,829.45 : x
  2. Step 2: Convert to fraction form
    3,321.54/4,583.25 = 1,829.45/x
  3. Step 3: Cross multiply
    3,321.54x = 4,583.25 × 1,829.45
  4. Step 4: Simplify right side
    3,321.54x = 8,384,838.17
  5. Step 5: Solve for x
    x = 8,384,838.17/3,321.54
  6. Step 6: Final answer
    x = 2,524.38

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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.