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Finding the Fourth Proportional to 5,141.22, 7,708.59 and 4,361.50

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Solution

The fourth proportional to 5,141.22, 7,708.59 and 4,361.50 is: 6,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.22 : 7,708.59 = 4,361.50 : x
  2. Step 2: Convert to fraction form
    5,141.22/7,708.59 = 4,361.50/x
  3. Step 3: Cross multiply
    5,141.22x = 7,708.59 × 4,361.50
  4. Step 4: Simplify right side
    5,141.22x = 33,620,979.66
  5. Step 5: Solve for x
    x = 33,620,979.66/5,141.22
  6. Step 6: Final answer
    x = 6,539.49

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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.