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Finding the Fourth Proportional to 3,844.80, 5,767.20 and 3,358.80

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Solution

The fourth proportional to 3,844.80, 5,767.20 and 3,358.80 is: 5,038.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.80 : 5,767.20 = 3,358.80 : x
  2. Step 2: Convert to fraction form
    3,844.80/5,767.20 = 3,358.80/x
  3. Step 3: Cross multiply
    3,844.80x = 5,767.20 × 3,358.80
  4. Step 4: Simplify right side
    3,844.80x = 19,370,871.36
  5. Step 5: Solve for x
    x = 19,370,871.36/3,844.80
  6. Step 6: Final answer
    x = 5,038.20

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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.