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Finding the Fourth Proportional to 3,959.94, 5,464.86 and 2,191.71

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Solution

The fourth proportional to 3,959.94, 5,464.86 and 2,191.71 is: 3,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.94 : 5,464.86 = 2,191.71 : x
  2. Step 2: Convert to fraction form
    3,959.94/5,464.86 = 2,191.71/x
  3. Step 3: Cross multiply
    3,959.94x = 5,464.86 × 2,191.71
  4. Step 4: Simplify right side
    3,959.94x = 11,977,388.31
  5. Step 5: Solve for x
    x = 11,977,388.31/3,959.94
  6. Step 6: Final answer
    x = 3,024.64

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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.