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Finding the Fourth Proportional to 3,492.61, 5,230.26 and 2,027.32

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Solution

The fourth proportional to 3,492.61, 5,230.26 and 2,027.32 is: 3,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.61 : 5,230.26 = 2,027.32 : x
  2. Step 2: Convert to fraction form
    3,492.61/5,230.26 = 2,027.32/x
  3. Step 3: Cross multiply
    3,492.61x = 5,230.26 × 2,027.32
  4. Step 4: Simplify right side
    3,492.61x = 10,603,410.70
  5. Step 5: Solve for x
    x = 10,603,410.70/3,492.61
  6. Step 6: Final answer
    x = 3,035.96

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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.