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Finding the Fourth Proportional to 3,797.85, 5,689.76 and 3,185.49

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Solution

The fourth proportional to 3,797.85, 5,689.76 and 3,185.49 is: 4,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.85 : 5,689.76 = 3,185.49 : x
  2. Step 2: Convert to fraction form
    3,797.85/5,689.76 = 3,185.49/x
  3. Step 3: Cross multiply
    3,797.85x = 5,689.76 × 3,185.49
  4. Step 4: Simplify right side
    3,797.85x = 18,124,657.65
  5. Step 5: Solve for x
    x = 18,124,657.65/3,797.85
  6. Step 6: Final answer
    x = 4,772.35

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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.