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Finding the Fourth Proportional to 3,851.44, 5,768.16 and 1,897.36

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Solution

The fourth proportional to 3,851.44, 5,768.16 and 1,897.36 is: 2,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.44 : 5,768.16 = 1,897.36 : x
  2. Step 2: Convert to fraction form
    3,851.44/5,768.16 = 1,897.36/x
  3. Step 3: Cross multiply
    3,851.44x = 5,768.16 × 1,897.36
  4. Step 4: Simplify right side
    3,851.44x = 10,944,276.06
  5. Step 5: Solve for x
    x = 10,944,276.06/3,851.44
  6. Step 6: Final answer
    x = 2,841.61

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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.