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Finding the Fourth Proportional to 4,734, 6,532.96 and 2,638.56

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Solution

The fourth proportional to 4,734, 6,532.96 and 2,638.56 is: 3,641.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734 : 6,532.96 = 2,638.56 : x
  2. Step 2: Convert to fraction form
    4,734/6,532.96 = 2,638.56/x
  3. Step 3: Cross multiply
    4,734x = 6,532.96 × 2,638.56
  4. Step 4: Simplify right side
    4,734x = 17,237,606.94
  5. Step 5: Solve for x
    x = 17,237,606.94/4,734
  6. Step 6: Final answer
    x = 3,641.24

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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.