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Finding the Fourth Proportional to 4,492.37, 6,734.39 and 1,992.23

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Solution

The fourth proportional to 4,492.37, 6,734.39 and 1,992.23 is: 2,986.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.37 : 6,734.39 = 1,992.23 : x
  2. Step 2: Convert to fraction form
    4,492.37/6,734.39 = 1,992.23/x
  3. Step 3: Cross multiply
    4,492.37x = 6,734.39 × 1,992.23
  4. Step 4: Simplify right side
    4,492.37x = 13,416,410.16
  5. Step 5: Solve for x
    x = 13,416,410.16/4,492.37
  6. Step 6: Final answer
    x = 2,986.49

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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.