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Finding the Fourth Proportional to 3,959, 5,464.46 and 2,280.60

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Solution

The fourth proportional to 3,959, 5,464.46 and 2,280.60 is: 3,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959 : 5,464.46 = 2,280.60 : x
  2. Step 2: Convert to fraction form
    3,959/5,464.46 = 2,280.60/x
  3. Step 3: Cross multiply
    3,959x = 5,464.46 × 2,280.60
  4. Step 4: Simplify right side
    3,959x = 12,462,247.48
  5. Step 5: Solve for x
    x = 12,462,247.48/3,959
  6. Step 6: Final answer
    x = 3,147.83

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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.