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Finding the Fourth Proportional to 5,736.84, 8,589.04 and 3,651.68

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Solution

The fourth proportional to 5,736.84, 8,589.04 and 3,651.68 is: 5,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.84 : 8,589.04 = 3,651.68 : x
  2. Step 2: Convert to fraction form
    5,736.84/8,589.04 = 3,651.68/x
  3. Step 3: Cross multiply
    5,736.84x = 8,589.04 × 3,651.68
  4. Step 4: Simplify right side
    5,736.84x = 31,364,425.59
  5. Step 5: Solve for x
    x = 31,364,425.59/5,736.84
  6. Step 6: Final answer
    x = 5,467.20

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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.