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Finding the Fourth Proportional to 3,734.91, 5,602.37 and 2,091.45

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Solution

The fourth proportional to 3,734.91, 5,602.37 and 2,091.45 is: 3,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.91 : 5,602.37 = 2,091.45 : x
  2. Step 2: Convert to fraction form
    3,734.91/5,602.37 = 2,091.45/x
  3. Step 3: Cross multiply
    3,734.91x = 5,602.37 × 2,091.45
  4. Step 4: Simplify right side
    3,734.91x = 11,717,087.29
  5. Step 5: Solve for x
    x = 11,717,087.29/3,734.91
  6. Step 6: Final answer
    x = 3,137.18

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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.