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Finding the Fourth Proportional to 3,769, 5,200.02 and 2,277.40

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Solution

The fourth proportional to 3,769, 5,200.02 and 2,277.40 is: 3,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769 : 5,200.02 = 2,277.40 : x
  2. Step 2: Convert to fraction form
    3,769/5,200.02 = 2,277.40/x
  3. Step 3: Cross multiply
    3,769x = 5,200.02 × 2,277.40
  4. Step 4: Simplify right side
    3,769x = 11,842,525.55
  5. Step 5: Solve for x
    x = 11,842,525.55/3,769
  6. Step 6: Final answer
    x = 3,142.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.