Home / 3,823.42-5,736.02-1,190.78

Finding the Fourth Proportional to 3,823.42, 5,736.02 and 1,190.78

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Solution

The fourth proportional to 3,823.42, 5,736.02 and 1,190.78 is: 1,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.42 : 5,736.02 = 1,190.78 : x
  2. Step 2: Convert to fraction form
    3,823.42/5,736.02 = 1,190.78/x
  3. Step 3: Cross multiply
    3,823.42x = 5,736.02 × 1,190.78
  4. Step 4: Simplify right side
    3,823.42x = 6,830,337.90
  5. Step 5: Solve for x
    x = 6,830,337.90/3,823.42
  6. Step 6: Final answer
    x = 1,786.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.