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Finding the Fourth Proportional to 3,741.39, 5,612.02 and 967.83

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Solution

The fourth proportional to 3,741.39, 5,612.02 and 967.83 is: 1,451.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.39 : 5,612.02 = 967.83 : x
  2. Step 2: Convert to fraction form
    3,741.39/5,612.02 = 967.83/x
  3. Step 3: Cross multiply
    3,741.39x = 5,612.02 × 967.83
  4. Step 4: Simplify right side
    3,741.39x = 5,431,495.35
  5. Step 5: Solve for x
    x = 5,431,495.35/3,741.39
  6. Step 6: Final answer
    x = 1,451.73

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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.