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Finding the Fourth Proportional to 3,852.45, 5,778.72 and 1,219.91

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Solution

The fourth proportional to 3,852.45, 5,778.72 and 1,219.91 is: 1,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.45 : 5,778.72 = 1,219.91 : x
  2. Step 2: Convert to fraction form
    3,852.45/5,778.72 = 1,219.91/x
  3. Step 3: Cross multiply
    3,852.45x = 5,778.72 × 1,219.91
  4. Step 4: Simplify right side
    3,852.45x = 7,049,518.50
  5. Step 5: Solve for x
    x = 7,049,518.50/3,852.45
  6. Step 6: Final answer
    x = 1,829.88

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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.