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Finding the Fourth Proportional to 4,815.24, 7,218 and 1,892.40

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Solution

The fourth proportional to 4,815.24, 7,218 and 1,892.40 is: 2,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,815.24 : 7,218 = 1,892.40 : x
  2. Step 2: Convert to fraction form
    4,815.24/7,218 = 1,892.40/x
  3. Step 3: Cross multiply
    4,815.24x = 7,218 × 1,892.40
  4. Step 4: Simplify right side
    4,815.24x = 13,659,343.20
  5. Step 5: Solve for x
    x = 13,659,343.20/4,815.24
  6. Step 6: Final answer
    x = 2,836.69

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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.