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Finding the Fourth Proportional to 3,757.88, 5,638.02 and 1,292.84

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Solution

The fourth proportional to 3,757.88, 5,638.02 and 1,292.84 is: 1,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.88 : 5,638.02 = 1,292.84 : x
  2. Step 2: Convert to fraction form
    3,757.88/5,638.02 = 1,292.84/x
  3. Step 3: Cross multiply
    3,757.88x = 5,638.02 × 1,292.84
  4. Step 4: Simplify right side
    3,757.88x = 7,289,031.84
  5. Step 5: Solve for x
    x = 7,289,031.84/3,757.88
  6. Step 6: Final answer
    x = 1,939.67

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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.