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Finding the Fourth Proportional to 4,959.66, 6,843.96 and 2,969.48

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Solution

The fourth proportional to 4,959.66, 6,843.96 and 2,969.48 is: 4,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.66 : 6,843.96 = 2,969.48 : x
  2. Step 2: Convert to fraction form
    4,959.66/6,843.96 = 2,969.48/x
  3. Step 3: Cross multiply
    4,959.66x = 6,843.96 × 2,969.48
  4. Step 4: Simplify right side
    4,959.66x = 20,323,002.34
  5. Step 5: Solve for x
    x = 20,323,002.34/4,959.66
  6. Step 6: Final answer
    x = 4,097.66

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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.