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Finding the Fourth Proportional to 4,224.78, 5,830.32 and 2,361.78

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Solution

The fourth proportional to 4,224.78, 5,830.32 and 2,361.78 is: 3,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,224.78 : 5,830.32 = 2,361.78 : x
  2. Step 2: Convert to fraction form
    4,224.78/5,830.32 = 2,361.78/x
  3. Step 3: Cross multiply
    4,224.78x = 5,830.32 × 2,361.78
  4. Step 4: Simplify right side
    4,224.78x = 13,769,933.17
  5. Step 5: Solve for x
    x = 13,769,933.17/4,224.78
  6. Step 6: Final answer
    x = 3,259.33

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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.