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Finding the Fourth Proportional to 5,845.76, 8,068 and 3,361.28

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Solution

The fourth proportional to 5,845.76, 8,068 and 3,361.28 is: 4,639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.76 : 8,068 = 3,361.28 : x
  2. Step 2: Convert to fraction form
    5,845.76/8,068 = 3,361.28/x
  3. Step 3: Cross multiply
    5,845.76x = 8,068 × 3,361.28
  4. Step 4: Simplify right side
    5,845.76x = 27,118,807.04
  5. Step 5: Solve for x
    x = 27,118,807.04/5,845.76
  6. Step 6: Final answer
    x = 4,639.06

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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.