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Finding the Fourth Proportional to 4,883.60, 6,738.72 and 2,894.24

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Solution

The fourth proportional to 4,883.60, 6,738.72 and 2,894.24 is: 3,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.60 : 6,738.72 = 2,894.24 : x
  2. Step 2: Convert to fraction form
    4,883.60/6,738.72 = 2,894.24/x
  3. Step 3: Cross multiply
    4,883.60x = 6,738.72 × 2,894.24
  4. Step 4: Simplify right side
    4,883.60x = 19,503,472.97
  5. Step 5: Solve for x
    x = 19,503,472.97/4,883.60
  6. Step 6: Final answer
    x = 3,993.67

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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.