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Finding the Fourth Proportional to 3,741.89, 5,612.41 and 968.58

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Solution

The fourth proportional to 3,741.89, 5,612.41 and 968.58 is: 1,452.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.89 : 5,612.41 = 968.58 : x
  2. Step 2: Convert to fraction form
    3,741.89/5,612.41 = 968.58/x
  3. Step 3: Cross multiply
    3,741.89x = 5,612.41 × 968.58
  4. Step 4: Simplify right side
    3,741.89x = 5,436,068.08
  5. Step 5: Solve for x
    x = 5,436,068.08/3,741.89
  6. Step 6: Final answer
    x = 1,452.76

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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.