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Finding the Fourth Proportional to 4,506.26, 6,760.45 and 1,428.26

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Solution

The fourth proportional to 4,506.26, 6,760.45 and 1,428.26 is: 2,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.26 : 6,760.45 = 1,428.26 : x
  2. Step 2: Convert to fraction form
    4,506.26/6,760.45 = 1,428.26/x
  3. Step 3: Cross multiply
    4,506.26x = 6,760.45 × 1,428.26
  4. Step 4: Simplify right side
    4,506.26x = 9,655,680.32
  5. Step 5: Solve for x
    x = 9,655,680.32/4,506.26
  6. Step 6: Final answer
    x = 2,142.73

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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.