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Finding the Fourth Proportional to 3,349.53, 4,622.29 and 1,857.44

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Solution

The fourth proportional to 3,349.53, 4,622.29 and 1,857.44 is: 2,563.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.53 : 4,622.29 = 1,857.44 : x
  2. Step 2: Convert to fraction form
    3,349.53/4,622.29 = 1,857.44/x
  3. Step 3: Cross multiply
    3,349.53x = 4,622.29 × 1,857.44
  4. Step 4: Simplify right side
    3,349.53x = 8,585,633.25
  5. Step 5: Solve for x
    x = 8,585,633.25/3,349.53
  6. Step 6: Final answer
    x = 2,563.24

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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.