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Finding the Fourth Proportional to 3,740.79, 5,603.99 and 2,092.34

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Solution

The fourth proportional to 3,740.79, 5,603.99 and 2,092.34 is: 3,134.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.79 : 5,603.99 = 2,092.34 : x
  2. Step 2: Convert to fraction form
    3,740.79/5,603.99 = 2,092.34/x
  3. Step 3: Cross multiply
    3,740.79x = 5,603.99 × 2,092.34
  4. Step 4: Simplify right side
    3,740.79x = 11,725,471.68
  5. Step 5: Solve for x
    x = 11,725,471.68/3,740.79
  6. Step 6: Final answer
    x = 3,134.49

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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.