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Finding the Fourth Proportional to 3,741.54, 5,608.74 and 1,400.91

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Solution

The fourth proportional to 3,741.54, 5,608.74 and 1,400.91 is: 2,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.54 : 5,608.74 = 1,400.91 : x
  2. Step 2: Convert to fraction form
    3,741.54/5,608.74 = 1,400.91/x
  3. Step 3: Cross multiply
    3,741.54x = 5,608.74 × 1,400.91
  4. Step 4: Simplify right side
    3,741.54x = 7,857,339.95
  5. Step 5: Solve for x
    x = 7,857,339.95/3,741.54
  6. Step 6: Final answer
    x = 2,100.03

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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.