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Finding the Fourth Proportional to 4,794.14, 7,189.16 and 1,673.21

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Solution

The fourth proportional to 4,794.14, 7,189.16 and 1,673.21 is: 2,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,794.14 : 7,189.16 = 1,673.21 : x
  2. Step 2: Convert to fraction form
    4,794.14/7,189.16 = 1,673.21/x
  3. Step 3: Cross multiply
    4,794.14x = 7,189.16 × 1,673.21
  4. Step 4: Simplify right side
    4,794.14x = 12,028,984.01
  5. Step 5: Solve for x
    x = 12,028,984.01/4,794.14
  6. Step 6: Final answer
    x = 2,509.10

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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.