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Finding the Fourth Proportional to 4,133.58, 5,704.41 and 2,245.17

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Solution

The fourth proportional to 4,133.58, 5,704.41 and 2,245.17 is: 3,098.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.58 : 5,704.41 = 2,245.17 : x
  2. Step 2: Convert to fraction form
    4,133.58/5,704.41 = 2,245.17/x
  3. Step 3: Cross multiply
    4,133.58x = 5,704.41 × 2,245.17
  4. Step 4: Simplify right side
    4,133.58x = 12,807,339.25
  5. Step 5: Solve for x
    x = 12,807,339.25/4,133.58
  6. Step 6: Final answer
    x = 3,098.37

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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.