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Finding the Fourth Proportional to 3,493.85, 4,821.50 and 2,001.77

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Solution

The fourth proportional to 3,493.85, 4,821.50 and 2,001.77 is: 2,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.85 : 4,821.50 = 2,001.77 : x
  2. Step 2: Convert to fraction form
    3,493.85/4,821.50 = 2,001.77/x
  3. Step 3: Cross multiply
    3,493.85x = 4,821.50 × 2,001.77
  4. Step 4: Simplify right side
    3,493.85x = 9,651,499.94
  5. Step 5: Solve for x
    x = 9,651,499.94/3,493.85
  6. Step 6: Final answer
    x = 2,762.43

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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.