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Finding the Fourth Proportional to 5,745.72, 8,618.58 and 1,641.72

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Solution

The fourth proportional to 5,745.72, 8,618.58 and 1,641.72 is: 2,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.72 : 8,618.58 = 1,641.72 : x
  2. Step 2: Convert to fraction form
    5,745.72/8,618.58 = 1,641.72/x
  3. Step 3: Cross multiply
    5,745.72x = 8,618.58 × 1,641.72
  4. Step 4: Simplify right side
    5,745.72x = 14,149,295.16
  5. Step 5: Solve for x
    x = 14,149,295.16/5,745.72
  6. Step 6: Final answer
    x = 2,462.58

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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.