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Finding the Fourth Proportional to 4,794, 6,614.10 and 2,905.08

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Solution

The fourth proportional to 4,794, 6,614.10 and 2,905.08 is: 4,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794 : 6,614.10 = 2,905.08 : x
  2. Step 2: Convert to fraction form
    4,794/6,614.10 = 2,905.08/x
  3. Step 3: Cross multiply
    4,794x = 6,614.10 × 2,905.08
  4. Step 4: Simplify right side
    4,794x = 19,214,489.63
  5. Step 5: Solve for x
    x = 19,214,489.63/4,794
  6. Step 6: Final answer
    x = 4,008.03

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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.