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Finding the Fourth Proportional to 3,661.42, 5,052.00 and 2,317.44

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Solution

The fourth proportional to 3,661.42, 5,052.00 and 2,317.44 is: 3,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.42 : 5,052.00 = 2,317.44 : x
  2. Step 2: Convert to fraction form
    3,661.42/5,052.00 = 2,317.44/x
  3. Step 3: Cross multiply
    3,661.42x = 5,052.00 × 2,317.44
  4. Step 4: Simplify right side
    3,661.42x = 11,707,714.96
  5. Step 5: Solve for x
    x = 11,707,714.96/3,661.42
  6. Step 6: Final answer
    x = 3,197.59

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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.