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Finding the Fourth Proportional to 3,619.24, 4,994.10 and 2,047.24

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Solution

The fourth proportional to 3,619.24, 4,994.10 and 2,047.24 is: 2,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,619.24 : 4,994.10 = 2,047.24 : x
  2. Step 2: Convert to fraction form
    3,619.24/4,994.10 = 2,047.24/x
  3. Step 3: Cross multiply
    3,619.24x = 4,994.10 × 2,047.24
  4. Step 4: Simplify right side
    3,619.24x = 10,224,121.28
  5. Step 5: Solve for x
    x = 10,224,121.28/3,619.24
  6. Step 6: Final answer
    x = 2,824.94

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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.