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Finding the Fourth Proportional to 3,599.37, 5,398.01 and 1,519.84

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Solution

The fourth proportional to 3,599.37, 5,398.01 and 1,519.84 is: 2,279.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,599.37 : 5,398.01 = 1,519.84 : x
  2. Step 2: Convert to fraction form
    3,599.37/5,398.01 = 1,519.84/x
  3. Step 3: Cross multiply
    3,599.37x = 5,398.01 × 1,519.84
  4. Step 4: Simplify right side
    3,599.37x = 8,204,111.52
  5. Step 5: Solve for x
    x = 8,204,111.52/3,599.37
  6. Step 6: Final answer
    x = 2,279.32

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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.