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Finding the Fourth Proportional to 3,412.43, 5,113.43 and 2,297.72

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Solution

The fourth proportional to 3,412.43, 5,113.43 and 2,297.72 is: 3,443.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.43 : 5,113.43 = 2,297.72 : x
  2. Step 2: Convert to fraction form
    3,412.43/5,113.43 = 2,297.72/x
  3. Step 3: Cross multiply
    3,412.43x = 5,113.43 × 2,297.72
  4. Step 4: Simplify right side
    3,412.43x = 11,749,211.53
  5. Step 5: Solve for x
    x = 11,749,211.53/3,412.43
  6. Step 6: Final answer
    x = 3,443.06

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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.