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Finding the Fourth Proportional to 7,184.52, 10,780.40 and 3,289.84

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Solution

The fourth proportional to 7,184.52, 10,780.40 and 3,289.84 is: 4,936.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.52 : 10,780.40 = 3,289.84 : x
  2. Step 2: Convert to fraction form
    7,184.52/10,780.40 = 3,289.84/x
  3. Step 3: Cross multiply
    7,184.52x = 10,780.40 × 3,289.84
  4. Step 4: Simplify right side
    7,184.52x = 35,465,791.14
  5. Step 5: Solve for x
    x = 35,465,791.14/7,184.52
  6. Step 6: Final answer
    x = 4,936.42

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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.