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Finding the Fourth Proportional to 3,446.42, 4,755.84 and 1,874.50

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Solution

The fourth proportional to 3,446.42, 4,755.84 and 1,874.50 is: 2,586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.42 : 4,755.84 = 1,874.50 : x
  2. Step 2: Convert to fraction form
    3,446.42/4,755.84 = 1,874.50/x
  3. Step 3: Cross multiply
    3,446.42x = 4,755.84 × 1,874.50
  4. Step 4: Simplify right side
    3,446.42x = 8,914,822.08
  5. Step 5: Solve for x
    x = 8,914,822.08/3,446.42
  6. Step 6: Final answer
    x = 2,586.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.