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Finding the Fourth Proportional to 3,763.57, 5,654.01 and 2,655.54

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Solution

The fourth proportional to 3,763.57, 5,654.01 and 2,655.54 is: 3,989.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.57 : 5,654.01 = 2,655.54 : x
  2. Step 2: Convert to fraction form
    3,763.57/5,654.01 = 2,655.54/x
  3. Step 3: Cross multiply
    3,763.57x = 5,654.01 × 2,655.54
  4. Step 4: Simplify right side
    3,763.57x = 15,014,449.72
  5. Step 5: Solve for x
    x = 15,014,449.72/3,763.57
  6. Step 6: Final answer
    x = 3,989.42

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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.