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Finding the Fourth Proportional to 3,143.06, 4,346.82 and 2,749.40

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Solution

The fourth proportional to 3,143.06, 4,346.82 and 2,749.40 is: 3,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.06 : 4,346.82 = 2,749.40 : x
  2. Step 2: Convert to fraction form
    3,143.06/4,346.82 = 2,749.40/x
  3. Step 3: Cross multiply
    3,143.06x = 4,346.82 × 2,749.40
  4. Step 4: Simplify right side
    3,143.06x = 11,951,146.91
  5. Step 5: Solve for x
    x = 11,951,146.91/3,143.06
  6. Step 6: Final answer
    x = 3,802.39

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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.