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Finding the Fourth Proportional to 4,647.38, 6,412.99 and 2,657.62

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Solution

The fourth proportional to 4,647.38, 6,412.99 and 2,657.62 is: 3,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.38 : 6,412.99 = 2,657.62 : x
  2. Step 2: Convert to fraction form
    4,647.38/6,412.99 = 2,657.62/x
  3. Step 3: Cross multiply
    4,647.38x = 6,412.99 × 2,657.62
  4. Step 4: Simplify right side
    4,647.38x = 17,043,245.13
  5. Step 5: Solve for x
    x = 17,043,245.13/4,647.38
  6. Step 6: Final answer
    x = 3,667.28

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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.