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Finding the Fourth Proportional to 3,183.95, 4,752.66 and 2,949.46

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Solution

The fourth proportional to 3,183.95, 4,752.66 and 2,949.46 is: 4,402.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.95 : 4,752.66 = 2,949.46 : x
  2. Step 2: Convert to fraction form
    3,183.95/4,752.66 = 2,949.46/x
  3. Step 3: Cross multiply
    3,183.95x = 4,752.66 × 2,949.46
  4. Step 4: Simplify right side
    3,183.95x = 14,017,742.05
  5. Step 5: Solve for x
    x = 14,017,742.05/3,183.95
  6. Step 6: Final answer
    x = 4,402.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.