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Finding the Fourth Proportional to 4,892.76, 7,340.46 and 2,118.24

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Solution

The fourth proportional to 4,892.76, 7,340.46 and 2,118.24 is: 3,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.76 : 7,340.46 = 2,118.24 : x
  2. Step 2: Convert to fraction form
    4,892.76/7,340.46 = 2,118.24/x
  3. Step 3: Cross multiply
    4,892.76x = 7,340.46 × 2,118.24
  4. Step 4: Simplify right side
    4,892.76x = 15,548,855.99
  5. Step 5: Solve for x
    x = 15,548,855.99/4,892.76
  6. Step 6: Final answer
    x = 3,177.93

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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.