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Finding the Fourth Proportional to 4,576.36, 6,323.62 and 3,652.20

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Solution

The fourth proportional to 4,576.36, 6,323.62 and 3,652.20 is: 5,046.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.36 : 6,323.62 = 3,652.20 : x
  2. Step 2: Convert to fraction form
    4,576.36/6,323.62 = 3,652.20/x
  3. Step 3: Cross multiply
    4,576.36x = 6,323.62 × 3,652.20
  4. Step 4: Simplify right side
    4,576.36x = 23,095,124.96
  5. Step 5: Solve for x
    x = 23,095,124.96/4,576.36
  6. Step 6: Final answer
    x = 5,046.61

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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.