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Finding the Fourth Proportional to 3,820, 5,273.52 and 3,589.60

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Solution

The fourth proportional to 3,820, 5,273.52 and 3,589.60 is: 4,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820 : 5,273.52 = 3,589.60 : x
  2. Step 2: Convert to fraction form
    3,820/5,273.52 = 3,589.60/x
  3. Step 3: Cross multiply
    3,820x = 5,273.52 × 3,589.60
  4. Step 4: Simplify right side
    3,820x = 18,929,827.39
  5. Step 5: Solve for x
    x = 18,929,827.39/3,820
  6. Step 6: Final answer
    x = 4,955.45

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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.