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Finding the Fourth Proportional to 5,898.22, 8,847.88 and 1,949.50

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Solution

The fourth proportional to 5,898.22, 8,847.88 and 1,949.50 is: 2,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.22 : 8,847.88 = 1,949.50 : x
  2. Step 2: Convert to fraction form
    5,898.22/8,847.88 = 1,949.50/x
  3. Step 3: Cross multiply
    5,898.22x = 8,847.88 × 1,949.50
  4. Step 4: Simplify right side
    5,898.22x = 17,248,942.06
  5. Step 5: Solve for x
    x = 17,248,942.06/5,898.22
  6. Step 6: Final answer
    x = 2,924.43

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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.