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Finding the Fourth Proportional to 5,960.84, 8,942.06 and 2,065.55

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Solution

The fourth proportional to 5,960.84, 8,942.06 and 2,065.55 is: 3,098.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.84 : 8,942.06 = 2,065.55 : x
  2. Step 2: Convert to fraction form
    5,960.84/8,942.06 = 2,065.55/x
  3. Step 3: Cross multiply
    5,960.84x = 8,942.06 × 2,065.55
  4. Step 4: Simplify right side
    5,960.84x = 18,470,232.49
  5. Step 5: Solve for x
    x = 18,470,232.49/5,960.84
  6. Step 6: Final answer
    x = 3,098.60

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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.