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Finding the Fourth Proportional to 5,391.95, 8,087.93 and 1,694.50

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Solution

The fourth proportional to 5,391.95, 8,087.93 and 1,694.50 is: 2,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.95 : 8,087.93 = 1,694.50 : x
  2. Step 2: Convert to fraction form
    5,391.95/8,087.93 = 1,694.50/x
  3. Step 3: Cross multiply
    5,391.95x = 8,087.93 × 1,694.50
  4. Step 4: Simplify right side
    5,391.95x = 13,704,997.39
  5. Step 5: Solve for x
    x = 13,704,997.39/5,391.95
  6. Step 6: Final answer
    x = 2,541.75

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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.