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Finding the Fourth Proportional to 3,073.53, 4,604.18 and 2,821.53

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Solution

The fourth proportional to 3,073.53, 4,604.18 and 2,821.53 is: 4,226.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.53 : 4,604.18 = 2,821.53 : x
  2. Step 2: Convert to fraction form
    3,073.53/4,604.18 = 2,821.53/x
  3. Step 3: Cross multiply
    3,073.53x = 4,604.18 × 2,821.53
  4. Step 4: Simplify right side
    3,073.53x = 12,990,817.89
  5. Step 5: Solve for x
    x = 12,990,817.89/3,073.53
  6. Step 6: Final answer
    x = 4,226.68

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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.