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Finding the Fourth Proportional to 3,783.24, 5,219.64 and 2,210.22

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Solution

The fourth proportional to 3,783.24, 5,219.64 and 2,210.22 is: 3,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.24 : 5,219.64 = 2,210.22 : x
  2. Step 2: Convert to fraction form
    3,783.24/5,219.64 = 2,210.22/x
  3. Step 3: Cross multiply
    3,783.24x = 5,219.64 × 2,210.22
  4. Step 4: Simplify right side
    3,783.24x = 11,536,552.72
  5. Step 5: Solve for x
    x = 11,536,552.72/3,783.24
  6. Step 6: Final answer
    x = 3,049.38

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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.