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Finding the Fourth Proportional to 5,914.71, 8,162.14 and 3,261.94

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Solution

The fourth proportional to 5,914.71, 8,162.14 and 3,261.94 is: 4,501.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.71 : 8,162.14 = 3,261.94 : x
  2. Step 2: Convert to fraction form
    5,914.71/8,162.14 = 3,261.94/x
  3. Step 3: Cross multiply
    5,914.71x = 8,162.14 × 3,261.94
  4. Step 4: Simplify right side
    5,914.71x = 26,624,410.95
  5. Step 5: Solve for x
    x = 26,624,410.95/5,914.71
  6. Step 6: Final answer
    x = 4,501.39

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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.