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Finding the Fourth Proportional to 5,648.03, 8,471.43 and 1,949.84

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Solution

The fourth proportional to 5,648.03, 8,471.43 and 1,949.84 is: 2,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.03 : 8,471.43 = 1,949.84 : x
  2. Step 2: Convert to fraction form
    5,648.03/8,471.43 = 1,949.84/x
  3. Step 3: Cross multiply
    5,648.03x = 8,471.43 × 1,949.84
  4. Step 4: Simplify right side
    5,648.03x = 16,517,880.96
  5. Step 5: Solve for x
    x = 16,517,880.96/5,648.03
  6. Step 6: Final answer
    x = 2,924.54

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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.