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Finding the Fourth Proportional to 4,492.54, 6,744.56 and 3,021.22

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Solution

The fourth proportional to 4,492.54, 6,744.56 and 3,021.22 is: 4,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.54 : 6,744.56 = 3,021.22 : x
  2. Step 2: Convert to fraction form
    4,492.54/6,744.56 = 3,021.22/x
  3. Step 3: Cross multiply
    4,492.54x = 6,744.56 × 3,021.22
  4. Step 4: Simplify right side
    4,492.54x = 20,376,799.56
  5. Step 5: Solve for x
    x = 20,376,799.56/4,492.54
  6. Step 6: Final answer
    x = 4,535.70

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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.