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Finding the Fourth Proportional to 5,694.64, 8,543.64 and 1,692.14

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Solution

The fourth proportional to 5,694.64, 8,543.64 and 1,692.14 is: 2,538.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.64 : 8,543.64 = 1,692.14 : x
  2. Step 2: Convert to fraction form
    5,694.64/8,543.64 = 1,692.14/x
  3. Step 3: Cross multiply
    5,694.64x = 8,543.64 × 1,692.14
  4. Step 4: Simplify right side
    5,694.64x = 14,457,034.99
  5. Step 5: Solve for x
    x = 14,457,034.99/5,694.64
  6. Step 6: Final answer
    x = 2,538.71

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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.