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Finding the Fourth Proportional to 4,224.94, 5,830.43 and 2,361.94

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Solution

The fourth proportional to 4,224.94, 5,830.43 and 2,361.94 is: 3,259.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.94 : 5,830.43 = 2,361.94 : x
  2. Step 2: Convert to fraction form
    4,224.94/5,830.43 = 2,361.94/x
  3. Step 3: Cross multiply
    4,224.94x = 5,830.43 × 2,361.94
  4. Step 4: Simplify right side
    4,224.94x = 13,771,099.45
  5. Step 5: Solve for x
    x = 13,771,099.45/4,224.94
  6. Step 6: Final answer
    x = 3,259.48

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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.