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Finding the Fourth Proportional to 3,786.76, 5,679.37 and 1,153.81

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Solution

The fourth proportional to 3,786.76, 5,679.37 and 1,153.81 is: 1,730.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.76 : 5,679.37 = 1,153.81 : x
  2. Step 2: Convert to fraction form
    3,786.76/5,679.37 = 1,153.81/x
  3. Step 3: Cross multiply
    3,786.76x = 5,679.37 × 1,153.81
  4. Step 4: Simplify right side
    3,786.76x = 6,552,927.93
  5. Step 5: Solve for x
    x = 6,552,927.93/3,786.76
  6. Step 6: Final answer
    x = 1,730.49

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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.