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Finding the Fourth Proportional to 3,510, 4,843.80 and 3,069.36

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Solution

The fourth proportional to 3,510, 4,843.80 and 3,069.36 is: 4,235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 4,843.80 = 3,069.36 : x
  2. Step 2: Convert to fraction form
    3,510/4,843.80 = 3,069.36/x
  3. Step 3: Cross multiply
    3,510x = 4,843.80 × 3,069.36
  4. Step 4: Simplify right side
    3,510x = 14,867,365.97
  5. Step 5: Solve for x
    x = 14,867,365.97/3,510
  6. Step 6: Final answer
    x = 4,235.72

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1.5x scale

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.