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Finding the Fourth Proportional to 5,794.22, 8,692.54 and 1,898.32

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Solution

The fourth proportional to 5,794.22, 8,692.54 and 1,898.32 is: 2,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.22 : 8,692.54 = 1,898.32 : x
  2. Step 2: Convert to fraction form
    5,794.22/8,692.54 = 1,898.32/x
  3. Step 3: Cross multiply
    5,794.22x = 8,692.54 × 1,898.32
  4. Step 4: Simplify right side
    5,794.22x = 16,501,222.53
  5. Step 5: Solve for x
    x = 16,501,222.53/5,794.22
  6. Step 6: Final answer
    x = 2,847.88

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1.5x scale

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.