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Finding the Fourth Proportional to 3,959.63, 5,940.28 and 1,460.82

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Solution

The fourth proportional to 3,959.63, 5,940.28 and 1,460.82 is: 2,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.63 : 5,940.28 = 1,460.82 : x
  2. Step 2: Convert to fraction form
    3,959.63/5,940.28 = 1,460.82/x
  3. Step 3: Cross multiply
    3,959.63x = 5,940.28 × 1,460.82
  4. Step 4: Simplify right side
    3,959.63x = 8,677,679.83
  5. Step 5: Solve for x
    x = 8,677,679.83/3,959.63
  6. Step 6: Final answer
    x = 2,191.54

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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.