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Finding the Fourth Proportional to 3,955.76, 5,454.78 and 2,959.46

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Solution

The fourth proportional to 3,955.76, 5,454.78 and 2,959.46 is: 4,080.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.76 : 5,454.78 = 2,959.46 : x
  2. Step 2: Convert to fraction form
    3,955.76/5,454.78 = 2,959.46/x
  3. Step 3: Cross multiply
    3,955.76x = 5,454.78 × 2,959.46
  4. Step 4: Simplify right side
    3,955.76x = 16,143,203.22
  5. Step 5: Solve for x
    x = 16,143,203.22/3,955.76
  6. Step 6: Final answer
    x = 4,080.94

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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.