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Finding the Fourth Proportional to 5,178.60, 7,754.94 and 4,134.12

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Solution

The fourth proportional to 5,178.60, 7,754.94 and 4,134.12 is: 6,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.60 : 7,754.94 = 4,134.12 : x
  2. Step 2: Convert to fraction form
    5,178.60/7,754.94 = 4,134.12/x
  3. Step 3: Cross multiply
    5,178.60x = 7,754.94 × 4,134.12
  4. Step 4: Simplify right side
    5,178.60x = 32,059,852.55
  5. Step 5: Solve for x
    x = 32,059,852.55/5,178.60
  6. Step 6: Final answer
    x = 6,190.83

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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.