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Finding the Fourth Proportional to 3,880.67, 5,821.02 and 2,032.33

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Solution

The fourth proportional to 3,880.67, 5,821.02 and 2,032.33 is: 3,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.67 : 5,821.02 = 2,032.33 : x
  2. Step 2: Convert to fraction form
    3,880.67/5,821.02 = 2,032.33/x
  3. Step 3: Cross multiply
    3,880.67x = 5,821.02 × 2,032.33
  4. Step 4: Simplify right side
    3,880.67x = 11,830,233.58
  5. Step 5: Solve for x
    x = 11,830,233.58/3,880.67
  6. Step 6: Final answer
    x = 3,048.50

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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.