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Finding the Fourth Proportional to 7,189.43, 10,780.48 and 3,290.49

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Solution

The fourth proportional to 7,189.43, 10,780.48 and 3,290.49 is: 4,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.43 : 10,780.48 = 3,290.49 : x
  2. Step 2: Convert to fraction form
    7,189.43/10,780.48 = 3,290.49/x
  3. Step 3: Cross multiply
    7,189.43x = 10,780.48 × 3,290.49
  4. Step 4: Simplify right side
    7,189.43x = 35,473,065.75
  5. Step 5: Solve for x
    x = 35,473,065.75/7,189.43
  6. Step 6: Final answer
    x = 4,934.06

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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.