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Finding the Fourth Proportional to 4,784.39, 7,176.72 and 1,321.64

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Solution

The fourth proportional to 4,784.39, 7,176.72 and 1,321.64 is: 1,982.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.39 : 7,176.72 = 1,321.64 : x
  2. Step 2: Convert to fraction form
    4,784.39/7,176.72 = 1,321.64/x
  3. Step 3: Cross multiply
    4,784.39x = 7,176.72 × 1,321.64
  4. Step 4: Simplify right side
    4,784.39x = 9,484,997.73
  5. Step 5: Solve for x
    x = 9,484,997.73/4,784.39
  6. Step 6: Final answer
    x = 1,982.49

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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.