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Finding the Fourth Proportional to 3,544.75, 4,891.76 and 1,972.95

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Solution

The fourth proportional to 3,544.75, 4,891.76 and 1,972.95 is: 2,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.75 : 4,891.76 = 1,972.95 : x
  2. Step 2: Convert to fraction form
    3,544.75/4,891.76 = 1,972.95/x
  3. Step 3: Cross multiply
    3,544.75x = 4,891.76 × 1,972.95
  4. Step 4: Simplify right side
    3,544.75x = 9,651,197.89
  5. Step 5: Solve for x
    x = 9,651,197.89/3,544.75
  6. Step 6: Final answer
    x = 2,722.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.