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Finding the Fourth Proportional to 3,588.63, 5,383.50 and 1,832.69

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Solution

The fourth proportional to 3,588.63, 5,383.50 and 1,832.69 is: 2,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.63 : 5,383.50 = 1,832.69 : x
  2. Step 2: Convert to fraction form
    3,588.63/5,383.50 = 1,832.69/x
  3. Step 3: Cross multiply
    3,588.63x = 5,383.50 × 1,832.69
  4. Step 4: Simplify right side
    3,588.63x = 9,866,278.22
  5. Step 5: Solve for x
    x = 9,866,278.22/3,588.63
  6. Step 6: Final answer
    x = 2,749.32

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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.