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Finding the Fourth Proportional to 5,492.82, 8,239.44 and 2,823.70

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Solution

The fourth proportional to 5,492.82, 8,239.44 and 2,823.70 is: 4,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.82 : 8,239.44 = 2,823.70 : x
  2. Step 2: Convert to fraction form
    5,492.82/8,239.44 = 2,823.70/x
  3. Step 3: Cross multiply
    5,492.82x = 8,239.44 × 2,823.70
  4. Step 4: Simplify right side
    5,492.82x = 23,265,671.94
  5. Step 5: Solve for x
    x = 23,265,671.94/5,492.82
  6. Step 6: Final answer
    x = 4,235.65

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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.