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Finding the Fourth Proportional to 4,588.39, 6,883.04 and 1,467.61

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Solution

The fourth proportional to 4,588.39, 6,883.04 and 1,467.61 is: 2,201.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.39 : 6,883.04 = 1,467.61 : x
  2. Step 2: Convert to fraction form
    4,588.39/6,883.04 = 1,467.61/x
  3. Step 3: Cross multiply
    4,588.39x = 6,883.04 × 1,467.61
  4. Step 4: Simplify right side
    4,588.39x = 10,101,576.58
  5. Step 5: Solve for x
    x = 10,101,576.58/4,588.39
  6. Step 6: Final answer
    x = 2,201.55

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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.