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Finding the Fourth Proportional to 3,986.58, 5,981.94 and 3,018.63

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Solution

The fourth proportional to 3,986.58, 5,981.94 and 3,018.63 is: 4,529.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.58 : 5,981.94 = 3,018.63 : x
  2. Step 2: Convert to fraction form
    3,986.58/5,981.94 = 3,018.63/x
  3. Step 3: Cross multiply
    3,986.58x = 5,981.94 × 3,018.63
  4. Step 4: Simplify right side
    3,986.58x = 18,057,263.54
  5. Step 5: Solve for x
    x = 18,057,263.54/3,986.58
  6. Step 6: Final answer
    x = 4,529.51

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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.