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Finding the Fourth Proportional to 4,783.50, 7,171.80 and 3,219.63

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Solution

The fourth proportional to 4,783.50, 7,171.80 and 3,219.63 is: 4,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.50 : 7,171.80 = 3,219.63 : x
  2. Step 2: Convert to fraction form
    4,783.50/7,171.80 = 3,219.63/x
  3. Step 3: Cross multiply
    4,783.50x = 7,171.80 × 3,219.63
  4. Step 4: Simplify right side
    4,783.50x = 23,090,542.43
  5. Step 5: Solve for x
    x = 23,090,542.43/4,783.50
  6. Step 6: Final answer
    x = 4,827.12

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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.