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Finding the Fourth Proportional to 3,409.05, 4,724.24 and 3,343.44

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Solution

The fourth proportional to 3,409.05, 4,724.24 and 3,343.44 is: 4,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.05 : 4,724.24 = 3,343.44 : x
  2. Step 2: Convert to fraction form
    3,409.05/4,724.24 = 3,343.44/x
  3. Step 3: Cross multiply
    3,409.05x = 4,724.24 × 3,343.44
  4. Step 4: Simplify right side
    3,409.05x = 15,795,196.27
  5. Step 5: Solve for x
    x = 15,795,196.27/3,409.05
  6. Step 6: Final answer
    x = 4,633.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.