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Finding the Fourth Proportional to 4,551.94, 6,832.02 and 3,816.22

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Solution

The fourth proportional to 4,551.94, 6,832.02 and 3,816.22 is: 5,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551.94 : 6,832.02 = 3,816.22 : x
  2. Step 2: Convert to fraction form
    4,551.94/6,832.02 = 3,816.22/x
  3. Step 3: Cross multiply
    4,551.94x = 6,832.02 × 3,816.22
  4. Step 4: Simplify right side
    4,551.94x = 26,072,491.36
  5. Step 5: Solve for x
    x = 26,072,491.36/4,551.94
  6. Step 6: Final answer
    x = 5,727.78

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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.