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Finding the Fourth Proportional to 3,763.34, 5,639.54 and 2,669.84

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Solution

The fourth proportional to 3,763.34, 5,639.54 and 2,669.84 is: 4,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.34 : 5,639.54 = 2,669.84 : x
  2. Step 2: Convert to fraction form
    3,763.34/5,639.54 = 2,669.84/x
  3. Step 3: Cross multiply
    3,763.34x = 5,639.54 × 2,669.84
  4. Step 4: Simplify right side
    3,763.34x = 15,056,627.93
  5. Step 5: Solve for x
    x = 15,056,627.93/3,763.34
  6. Step 6: Final answer
    x = 4,000.87

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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.