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Finding the Fourth Proportional to 3,493.70, 4,821.99 and 2,002.61

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Solution

The fourth proportional to 3,493.70, 4,821.99 and 2,002.61 is: 2,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.70 : 4,821.99 = 2,002.61 : x
  2. Step 2: Convert to fraction form
    3,493.70/4,821.99 = 2,002.61/x
  3. Step 3: Cross multiply
    3,493.70x = 4,821.99 × 2,002.61
  4. Step 4: Simplify right side
    3,493.70x = 9,656,569.94
  5. Step 5: Solve for x
    x = 9,656,569.94/3,493.70
  6. Step 6: Final answer
    x = 2,764.00

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