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Finding the Fourth Proportional to 3,745.63, 5,613.72 and 1,897.21

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Solution

The fourth proportional to 3,745.63, 5,613.72 and 1,897.21 is: 2,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.63 : 5,613.72 = 1,897.21 : x
  2. Step 2: Convert to fraction form
    3,745.63/5,613.72 = 1,897.21/x
  3. Step 3: Cross multiply
    3,745.63x = 5,613.72 × 1,897.21
  4. Step 4: Simplify right side
    3,745.63x = 10,650,405.72
  5. Step 5: Solve for x
    x = 10,650,405.72/3,745.63
  6. Step 6: Final answer
    x = 2,843.42

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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.