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Finding the Fourth Proportional to 3,705.84, 5,556.06 and 2,143.62

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Solution

The fourth proportional to 3,705.84, 5,556.06 and 2,143.62 is: 3,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.84 : 5,556.06 = 2,143.62 : x
  2. Step 2: Convert to fraction form
    3,705.84/5,556.06 = 2,143.62/x
  3. Step 3: Cross multiply
    3,705.84x = 5,556.06 × 2,143.62
  4. Step 4: Simplify right side
    3,705.84x = 11,910,081.34
  5. Step 5: Solve for x
    x = 11,910,081.34/3,705.84
  6. Step 6: Final answer
    x = 3,213.87

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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.