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Finding the Fourth Proportional to 3,768.04, 5,650.24 and 1,302

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Solution

The fourth proportional to 3,768.04, 5,650.24 and 1,302 is: 1,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.04 : 5,650.24 = 1,302 : x
  2. Step 2: Convert to fraction form
    3,768.04/5,650.24 = 1,302/x
  3. Step 3: Cross multiply
    3,768.04x = 5,650.24 × 1,302
  4. Step 4: Simplify right side
    3,768.04x = 7,356,612.48
  5. Step 5: Solve for x
    x = 7,356,612.48/3,768.04
  6. Step 6: Final answer
    x = 1,952.37

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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.