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Finding the Fourth Proportional to 5,180.94, 7,768.17 and 2,405.88

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Solution

The fourth proportional to 5,180.94, 7,768.17 and 2,405.88 is: 3,607.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.94 : 7,768.17 = 2,405.88 : x
  2. Step 2: Convert to fraction form
    5,180.94/7,768.17 = 2,405.88/x
  3. Step 3: Cross multiply
    5,180.94x = 7,768.17 × 2,405.88
  4. Step 4: Simplify right side
    5,180.94x = 18,689,284.84
  5. Step 5: Solve for x
    x = 18,689,284.84/5,180.94
  6. Step 6: Final answer
    x = 3,607.32

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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.