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Finding the Fourth Proportional to 3,098.70, 4,664.97 and 2,826.54

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Solution

The fourth proportional to 3,098.70, 4,664.97 and 2,826.54 is: 4,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.70 : 4,664.97 = 2,826.54 : x
  2. Step 2: Convert to fraction form
    3,098.70/4,664.97 = 2,826.54/x
  3. Step 3: Cross multiply
    3,098.70x = 4,664.97 × 2,826.54
  4. Step 4: Simplify right side
    3,098.70x = 13,185,724.30
  5. Step 5: Solve for x
    x = 13,185,724.30/3,098.70
  6. Step 6: Final answer
    x = 4,255.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.