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Finding the Fourth Proportional to 4,361.76, 6,551.03 and 3,738.47

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Solution

The fourth proportional to 4,361.76, 6,551.03 and 3,738.47 is: 5,614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.76 : 6,551.03 = 3,738.47 : x
  2. Step 2: Convert to fraction form
    4,361.76/6,551.03 = 3,738.47/x
  3. Step 3: Cross multiply
    4,361.76x = 6,551.03 × 3,738.47
  4. Step 4: Simplify right side
    4,361.76x = 24,490,805.72
  5. Step 5: Solve for x
    x = 24,490,805.72/4,361.76
  6. Step 6: Final answer
    x = 5,614.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.