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Finding the Fourth Proportional to 3,522.89, 5,285.07 and 1,674.20

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Solution

The fourth proportional to 3,522.89, 5,285.07 and 1,674.20 is: 2,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.89 : 5,285.07 = 1,674.20 : x
  2. Step 2: Convert to fraction form
    3,522.89/5,285.07 = 1,674.20/x
  3. Step 3: Cross multiply
    3,522.89x = 5,285.07 × 1,674.20
  4. Step 4: Simplify right side
    3,522.89x = 8,848,264.19
  5. Step 5: Solve for x
    x = 8,848,264.19/3,522.89
  6. Step 6: Final answer
    x = 2,511.65

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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.