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Finding the Fourth Proportional to 4,609.76, 6,361.47 and 2,721.35

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Solution

The fourth proportional to 4,609.76, 6,361.47 and 2,721.35 is: 3,755.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.76 : 6,361.47 = 2,721.35 : x
  2. Step 2: Convert to fraction form
    4,609.76/6,361.47 = 2,721.35/x
  3. Step 3: Cross multiply
    4,609.76x = 6,361.47 × 2,721.35
  4. Step 4: Simplify right side
    4,609.76x = 17,311,786.38
  5. Step 5: Solve for x
    x = 17,311,786.38/4,609.76
  6. Step 6: Final answer
    x = 3,755.46

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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.