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Finding the Fourth Proportional to 4,046.54, 6,069.09 and 1,414.40

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Solution

The fourth proportional to 4,046.54, 6,069.09 and 1,414.40 is: 2,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046.54 : 6,069.09 = 1,414.40 : x
  2. Step 2: Convert to fraction form
    4,046.54/6,069.09 = 1,414.40/x
  3. Step 3: Cross multiply
    4,046.54x = 6,069.09 × 1,414.40
  4. Step 4: Simplify right side
    4,046.54x = 8,584,120.90
  5. Step 5: Solve for x
    x = 8,584,120.90/4,046.54
  6. Step 6: Final answer
    x = 2,121.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.