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Finding the Fourth Proportional to 8,984.88, 13,477.86 and 3,789

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Solution

The fourth proportional to 8,984.88, 13,477.86 and 3,789 is: 5,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.88 : 13,477.86 = 3,789 : x
  2. Step 2: Convert to fraction form
    8,984.88/13,477.86 = 3,789/x
  3. Step 3: Cross multiply
    8,984.88x = 13,477.86 × 3,789
  4. Step 4: Simplify right side
    8,984.88x = 51,067,611.54
  5. Step 5: Solve for x
    x = 51,067,611.54/8,984.88
  6. Step 6: Final answer
    x = 5,683.73

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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.