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Finding the Fourth Proportional to 3,742.53, 5,617.25 and 1,894.94

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Solution

The fourth proportional to 3,742.53, 5,617.25 and 1,894.94 is: 2,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742.53 : 5,617.25 = 1,894.94 : x
  2. Step 2: Convert to fraction form
    3,742.53/5,617.25 = 1,894.94/x
  3. Step 3: Cross multiply
    3,742.53x = 5,617.25 × 1,894.94
  4. Step 4: Simplify right side
    3,742.53x = 10,644,351.72
  5. Step 5: Solve for x
    x = 10,644,351.72/3,742.53
  6. Step 6: Final answer
    x = 2,844.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.