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Finding the Fourth Proportional to 4,133.64, 5,704.43 and 2,245.22

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Solution

The fourth proportional to 4,133.64, 5,704.43 and 2,245.22 is: 3,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.64 : 5,704.43 = 2,245.22 : x
  2. Step 2: Convert to fraction form
    4,133.64/5,704.43 = 2,245.22/x
  3. Step 3: Cross multiply
    4,133.64x = 5,704.43 × 2,245.22
  4. Step 4: Simplify right side
    4,133.64x = 12,807,700.32
  5. Step 5: Solve for x
    x = 12,807,700.32/4,133.64
  6. Step 6: Final answer
    x = 3,098.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.