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Finding the Fourth Proportional to 4,647, 6,412.68 and 2,657.82

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Solution

The fourth proportional to 4,647, 6,412.68 and 2,657.82 is: 3,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647 : 6,412.68 = 2,657.82 : x
  2. Step 2: Convert to fraction form
    4,647/6,412.68 = 2,657.82/x
  3. Step 3: Cross multiply
    4,647x = 6,412.68 × 2,657.82
  4. Step 4: Simplify right side
    4,647x = 17,043,749.16
  5. Step 5: Solve for x
    x = 17,043,749.16/4,647
  6. Step 6: Final answer
    x = 3,667.69

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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.