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Finding the Fourth Proportional to 5,741.37, 8,614.08 and 2,821.32

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Solution

The fourth proportional to 5,741.37, 8,614.08 and 2,821.32 is: 4,232.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,741.37 : 8,614.08 = 2,821.32 : x
  2. Step 2: Convert to fraction form
    5,741.37/8,614.08 = 2,821.32/x
  3. Step 3: Cross multiply
    5,741.37x = 8,614.08 × 2,821.32
  4. Step 4: Simplify right side
    5,741.37x = 24,303,076.19
  5. Step 5: Solve for x
    x = 24,303,076.19/5,741.37
  6. Step 6: Final answer
    x = 4,232.98

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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.