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Finding the Fourth Proportional to 5,689.64, 8,536.70 and 1,794.60

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Solution

The fourth proportional to 5,689.64, 8,536.70 and 1,794.60 is: 2,692.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.64 : 8,536.70 = 1,794.60 : x
  2. Step 2: Convert to fraction form
    5,689.64/8,536.70 = 1,794.60/x
  3. Step 3: Cross multiply
    5,689.64x = 8,536.70 × 1,794.60
  4. Step 4: Simplify right side
    5,689.64x = 15,319,961.82
  5. Step 5: Solve for x
    x = 15,319,961.82/5,689.64
  6. Step 6: Final answer
    x = 2,692.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.