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Finding the Fourth Proportional to 3,699, 5,104.62 and 2,043

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Solution

The fourth proportional to 3,699, 5,104.62 and 2,043 is: 2,819.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699 : 5,104.62 = 2,043 : x
  2. Step 2: Convert to fraction form
    3,699/5,104.62 = 2,043/x
  3. Step 3: Cross multiply
    3,699x = 5,104.62 × 2,043
  4. Step 4: Simplify right side
    3,699x = 10,428,738.66
  5. Step 5: Solve for x
    x = 10,428,738.66/3,699
  6. Step 6: Final answer
    x = 2,819.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.