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Finding the Fourth Proportional to 4,826.90, 6,661.16 and 2,963.90

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Solution

The fourth proportional to 4,826.90, 6,661.16 and 2,963.90 is: 4,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,826.90 : 6,661.16 = 2,963.90 : x
  2. Step 2: Convert to fraction form
    4,826.90/6,661.16 = 2,963.90/x
  3. Step 3: Cross multiply
    4,826.90x = 6,661.16 × 2,963.90
  4. Step 4: Simplify right side
    4,826.90x = 19,743,012.12
  5. Step 5: Solve for x
    x = 19,743,012.12/4,826.90
  6. Step 6: Final answer
    x = 4,090.21

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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.