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Finding the Fourth Proportional to 4,449.82, 6,674.19 and 1,852.42

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Solution

The fourth proportional to 4,449.82, 6,674.19 and 1,852.42 is: 2,778.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449.82 : 6,674.19 = 1,852.42 : x
  2. Step 2: Convert to fraction form
    4,449.82/6,674.19 = 1,852.42/x
  3. Step 3: Cross multiply
    4,449.82x = 6,674.19 × 1,852.42
  4. Step 4: Simplify right side
    4,449.82x = 12,363,403.04
  5. Step 5: Solve for x
    x = 12,363,403.04/4,449.82
  6. Step 6: Final answer
    x = 2,778.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.