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Finding the Fourth Proportional to 3,440.39, 5,159.00 and 1,099.88

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Solution

The fourth proportional to 3,440.39, 5,159.00 and 1,099.88 is: 1,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.39 : 5,159.00 = 1,099.88 : x
  2. Step 2: Convert to fraction form
    3,440.39/5,159.00 = 1,099.88/x
  3. Step 3: Cross multiply
    3,440.39x = 5,159.00 × 1,099.88
  4. Step 4: Simplify right side
    3,440.39x = 5,674,249.63
  5. Step 5: Solve for x
    x = 5,674,249.63/3,440.39
  6. Step 6: Final answer
    x = 1,649.31

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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.