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Finding the Fourth Proportional to 3,541.82, 4,887.71 and 1,969.88

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Solution

The fourth proportional to 3,541.82, 4,887.71 and 1,969.88 is: 2,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.82 : 4,887.71 = 1,969.88 : x
  2. Step 2: Convert to fraction form
    3,541.82/4,887.71 = 1,969.88/x
  3. Step 3: Cross multiply
    3,541.82x = 4,887.71 × 1,969.88
  4. Step 4: Simplify right side
    3,541.82x = 9,628,175.27
  5. Step 5: Solve for x
    x = 9,628,175.27/3,541.82
  6. Step 6: Final answer
    x = 2,718.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.