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Finding the Fourth Proportional to 3,897.45, 5,842.70 and 1,704.44

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Solution

The fourth proportional to 3,897.45, 5,842.70 and 1,704.44 is: 2,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.45 : 5,842.70 = 1,704.44 : x
  2. Step 2: Convert to fraction form
    3,897.45/5,842.70 = 1,704.44/x
  3. Step 3: Cross multiply
    3,897.45x = 5,842.70 × 1,704.44
  4. Step 4: Simplify right side
    3,897.45x = 9,958,537.67
  5. Step 5: Solve for x
    x = 9,958,537.67/3,897.45
  6. Step 6: Final answer
    x = 2,555.14

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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.