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Finding the Fourth Proportional to 3,959.46, 5,464.73 and 2,280.57

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Solution

The fourth proportional to 3,959.46, 5,464.73 and 2,280.57 is: 3,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.46 : 5,464.73 = 2,280.57 : x
  2. Step 2: Convert to fraction form
    3,959.46/5,464.73 = 2,280.57/x
  3. Step 3: Cross multiply
    3,959.46x = 5,464.73 × 2,280.57
  4. Step 4: Simplify right side
    3,959.46x = 12,462,684.50
  5. Step 5: Solve for x
    x = 12,462,684.50/3,959.46
  6. Step 6: Final answer
    x = 3,147.57

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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.