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Finding the Fourth Proportional to 3,173.36, 4,751.84 and 2,189.21

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Solution

The fourth proportional to 3,173.36, 4,751.84 and 2,189.21 is: 3,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.36 : 4,751.84 = 2,189.21 : x
  2. Step 2: Convert to fraction form
    3,173.36/4,751.84 = 2,189.21/x
  3. Step 3: Cross multiply
    3,173.36x = 4,751.84 × 2,189.21
  4. Step 4: Simplify right side
    3,173.36x = 10,402,775.65
  5. Step 5: Solve for x
    x = 10,402,775.65/3,173.36
  6. Step 6: Final answer
    x = 3,278.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.