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Finding the Fourth Proportional to 4,816.76, 7,219.22 and 2,738.50

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Solution

The fourth proportional to 4,816.76, 7,219.22 and 2,738.50 is: 4,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.76 : 7,219.22 = 2,738.50 : x
  2. Step 2: Convert to fraction form
    4,816.76/7,219.22 = 2,738.50/x
  3. Step 3: Cross multiply
    4,816.76x = 7,219.22 × 2,738.50
  4. Step 4: Simplify right side
    4,816.76x = 19,769,802.23
  5. Step 5: Solve for x
    x = 19,769,802.23/4,816.76
  6. Step 6: Final answer
    x = 4,104.38

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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.