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Finding the Fourth Proportional to 3,114.46, 4,295.19 and 3,098.95

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Solution

The fourth proportional to 3,114.46, 4,295.19 and 3,098.95 is: 4,273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.46 : 4,295.19 = 3,098.95 : x
  2. Step 2: Convert to fraction form
    3,114.46/4,295.19 = 3,098.95/x
  3. Step 3: Cross multiply
    3,114.46x = 4,295.19 × 3,098.95
  4. Step 4: Simplify right side
    3,114.46x = 13,310,579.05
  5. Step 5: Solve for x
    x = 13,310,579.05/3,114.46
  6. Step 6: Final answer
    x = 4,273.80

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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.