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Finding the Fourth Proportional to 5,745.90, 8,619.70 and 2,824.40

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Solution

The fourth proportional to 5,745.90, 8,619.70 and 2,824.40 is: 4,237.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.90 : 8,619.70 = 2,824.40 : x
  2. Step 2: Convert to fraction form
    5,745.90/8,619.70 = 2,824.40/x
  3. Step 3: Cross multiply
    5,745.90x = 8,619.70 × 2,824.40
  4. Step 4: Simplify right side
    5,745.90x = 24,345,480.68
  5. Step 5: Solve for x
    x = 24,345,480.68/5,745.90
  6. Step 6: Final answer
    x = 4,237.02

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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.