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Finding the Fourth Proportional to 3,704.34, 5,111.43 and 2,378.22

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Solution

The fourth proportional to 3,704.34, 5,111.43 and 2,378.22 is: 3,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.34 : 5,111.43 = 2,378.22 : x
  2. Step 2: Convert to fraction form
    3,704.34/5,111.43 = 2,378.22/x
  3. Step 3: Cross multiply
    3,704.34x = 5,111.43 × 2,378.22
  4. Step 4: Simplify right side
    3,704.34x = 12,156,105.05
  5. Step 5: Solve for x
    x = 12,156,105.05/3,704.34
  6. Step 6: Final answer
    x = 3,281.58

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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.