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Finding the Fourth Proportional to 4,617.84, 6,361.56 and 3,816

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Solution

The fourth proportional to 4,617.84, 6,361.56 and 3,816 is: 5,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.84 : 6,361.56 = 3,816 : x
  2. Step 2: Convert to fraction form
    4,617.84/6,361.56 = 3,816/x
  3. Step 3: Cross multiply
    4,617.84x = 6,361.56 × 3,816
  4. Step 4: Simplify right side
    4,617.84x = 24,275,712.96
  5. Step 5: Solve for x
    x = 24,275,712.96/4,617.84
  6. Step 6: Final answer
    x = 5,256.94

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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.