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Finding the Fourth Proportional to 5,323.05, 7,978.50 and 2,034.72

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Solution

The fourth proportional to 5,323.05, 7,978.50 and 2,034.72 is: 3,049.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.05 : 7,978.50 = 2,034.72 : x
  2. Step 2: Convert to fraction form
    5,323.05/7,978.50 = 2,034.72/x
  3. Step 3: Cross multiply
    5,323.05x = 7,978.50 × 2,034.72
  4. Step 4: Simplify right side
    5,323.05x = 16,234,013.52
  5. Step 5: Solve for x
    x = 16,234,013.52/5,323.05
  6. Step 6: Final answer
    x = 3,049.76

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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.