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Finding the Fourth Proportional to 3,785.66, 5,674.99 and 3,474.22

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Solution

The fourth proportional to 3,785.66, 5,674.99 and 3,474.22 is: 5,208.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.66 : 5,674.99 = 3,474.22 : x
  2. Step 2: Convert to fraction form
    3,785.66/5,674.99 = 3,474.22/x
  3. Step 3: Cross multiply
    3,785.66x = 5,674.99 × 3,474.22
  4. Step 4: Simplify right side
    3,785.66x = 19,716,148.27
  5. Step 5: Solve for x
    x = 19,716,148.27/3,785.66
  6. Step 6: Final answer
    x = 5,208.11

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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.