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Finding the Fourth Proportional to 3,789.12, 5,676 and 1,839.84

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Solution

The fourth proportional to 3,789.12, 5,676 and 1,839.84 is: 2,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.12 : 5,676 = 1,839.84 : x
  2. Step 2: Convert to fraction form
    3,789.12/5,676 = 1,839.84/x
  3. Step 3: Cross multiply
    3,789.12x = 5,676 × 1,839.84
  4. Step 4: Simplify right side
    3,789.12x = 10,442,931.84
  5. Step 5: Solve for x
    x = 10,442,931.84/3,789.12
  6. Step 6: Final answer
    x = 2,756.03

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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.