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Finding the Fourth Proportional to 3,860.87, 5,786.74 and 1,393.81

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Solution

The fourth proportional to 3,860.87, 5,786.74 and 1,393.81 is: 2,089.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.87 : 5,786.74 = 1,393.81 : x
  2. Step 2: Convert to fraction form
    3,860.87/5,786.74 = 1,393.81/x
  3. Step 3: Cross multiply
    3,860.87x = 5,786.74 × 1,393.81
  4. Step 4: Simplify right side
    3,860.87x = 8,065,603.35
  5. Step 5: Solve for x
    x = 8,065,603.35/3,860.87
  6. Step 6: Final answer
    x = 2,089.07

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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.