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Finding the Fourth Proportional to 4,588.65, 6,881.22 and 1,467.99

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Solution

The fourth proportional to 4,588.65, 6,881.22 and 1,467.99 is: 2,201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.65 : 6,881.22 = 1,467.99 : x
  2. Step 2: Convert to fraction form
    4,588.65/6,881.22 = 1,467.99/x
  3. Step 3: Cross multiply
    4,588.65x = 6,881.22 × 1,467.99
  4. Step 4: Simplify right side
    4,588.65x = 10,101,562.15
  5. Step 5: Solve for x
    x = 10,101,562.15/4,588.65
  6. Step 6: Final answer
    x = 2,201.42

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Why These Related Problems?

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