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Finding the Fourth Proportional to 3,818.70, 5,733.45 and 1,971.09

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Solution

The fourth proportional to 3,818.70, 5,733.45 and 1,971.09 is: 2,959.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.70 : 5,733.45 = 1,971.09 : x
  2. Step 2: Convert to fraction form
    3,818.70/5,733.45 = 1,971.09/x
  3. Step 3: Cross multiply
    3,818.70x = 5,733.45 × 1,971.09
  4. Step 4: Simplify right side
    3,818.70x = 11,301,145.96
  5. Step 5: Solve for x
    x = 11,301,145.96/3,818.70
  6. Step 6: Final answer
    x = 2,959.42

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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.