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Finding the Fourth Proportional to 4,744, 6,546.76 and 2,648.32

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Solution

The fourth proportional to 4,744, 6,546.76 and 2,648.32 is: 3,654.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744 : 6,546.76 = 2,648.32 : x
  2. Step 2: Convert to fraction form
    4,744/6,546.76 = 2,648.32/x
  3. Step 3: Cross multiply
    4,744x = 6,546.76 × 2,648.32
  4. Step 4: Simplify right side
    4,744x = 17,337,915.44
  5. Step 5: Solve for x
    x = 17,337,915.44/4,744
  6. Step 6: Final answer
    x = 3,654.70

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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.