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Finding the Fourth Proportional to 4,576.44, 6,866.16 and 1,456.96

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Solution

The fourth proportional to 4,576.44, 6,866.16 and 1,456.96 is: 2,185.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.44 : 6,866.16 = 1,456.96 : x
  2. Step 2: Convert to fraction form
    4,576.44/6,866.16 = 1,456.96/x
  3. Step 3: Cross multiply
    4,576.44x = 6,866.16 × 1,456.96
  4. Step 4: Simplify right side
    4,576.44x = 10,003,720.47
  5. Step 5: Solve for x
    x = 10,003,720.47/4,576.44
  6. Step 6: Final answer
    x = 2,185.92

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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.