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Finding the Fourth Proportional to 4,310.80, 6,471.06 and 2,852.80

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Solution

The fourth proportional to 4,310.80, 6,471.06 and 2,852.80 is: 4,282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.80 : 6,471.06 = 2,852.80 : x
  2. Step 2: Convert to fraction form
    4,310.80/6,471.06 = 2,852.80/x
  3. Step 3: Cross multiply
    4,310.80x = 6,471.06 × 2,852.80
  4. Step 4: Simplify right side
    4,310.80x = 18,460,639.97
  5. Step 5: Solve for x
    x = 18,460,639.97/4,310.80
  6. Step 6: Final answer
    x = 4,282.42

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1.5x scale

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.