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Finding the Fourth Proportional to 3,774.00, 5,661.81 and 1,141.44

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Solution

The fourth proportional to 3,774.00, 5,661.81 and 1,141.44 is: 1,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.00 : 5,661.81 = 1,141.44 : x
  2. Step 2: Convert to fraction form
    3,774.00/5,661.81 = 1,141.44/x
  3. Step 3: Cross multiply
    3,774.00x = 5,661.81 × 1,141.44
  4. Step 4: Simplify right side
    3,774.00x = 6,462,630.93
  5. Step 5: Solve for x
    x = 6,462,630.93/3,774.00
  6. Step 6: Final answer
    x = 1,712.41

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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.