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Finding the Fourth Proportional to 3,740.54, 5,611.01 and 1,889.48

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Solution

The fourth proportional to 3,740.54, 5,611.01 and 1,889.48 is: 2,834.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.54 : 5,611.01 = 1,889.48 : x
  2. Step 2: Convert to fraction form
    3,740.54/5,611.01 = 1,889.48/x
  3. Step 3: Cross multiply
    3,740.54x = 5,611.01 × 1,889.48
  4. Step 4: Simplify right side
    3,740.54x = 10,601,853.67
  5. Step 5: Solve for x
    x = 10,601,853.67/3,740.54
  6. Step 6: Final answer
    x = 2,834.31

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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.