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Finding the Fourth Proportional to 5,492.36, 8,239.84 and 1,794.58

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Solution

The fourth proportional to 5,492.36, 8,239.84 and 1,794.58 is: 2,692.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.36 : 8,239.84 = 1,794.58 : x
  2. Step 2: Convert to fraction form
    5,492.36/8,239.84 = 1,794.58/x
  3. Step 3: Cross multiply
    5,492.36x = 8,239.84 × 1,794.58
  4. Step 4: Simplify right side
    5,492.36x = 14,787,026.98
  5. Step 5: Solve for x
    x = 14,787,026.98/5,492.36
  6. Step 6: Final answer
    x = 2,692.29

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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.