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Finding the Fourth Proportional to 3,485.80, 4,812.78 and 2,438.20

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Solution

The fourth proportional to 3,485.80, 4,812.78 and 2,438.20 is: 3,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.80 : 4,812.78 = 2,438.20 : x
  2. Step 2: Convert to fraction form
    3,485.80/4,812.78 = 2,438.20/x
  3. Step 3: Cross multiply
    3,485.80x = 4,812.78 × 2,438.20
  4. Step 4: Simplify right side
    3,485.80x = 11,734,520.20
  5. Step 5: Solve for x
    x = 11,734,520.20/3,485.80
  6. Step 6: Final answer
    x = 3,366.38

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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.