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Finding the Fourth Proportional to 5,748.45, 7,936.02 and 5,412.30

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Solution

The fourth proportional to 5,748.45, 7,936.02 and 5,412.30 is: 7,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.45 : 7,936.02 = 5,412.30 : x
  2. Step 2: Convert to fraction form
    5,748.45/7,936.02 = 5,412.30/x
  3. Step 3: Cross multiply
    5,748.45x = 7,936.02 × 5,412.30
  4. Step 4: Simplify right side
    5,748.45x = 42,952,121.05
  5. Step 5: Solve for x
    x = 42,952,121.05/5,748.45
  6. Step 6: Final answer
    x = 7,471.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.