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Finding the Fourth Proportional to 4,798.24, 7,198.32 and 1,876.96

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Solution

The fourth proportional to 4,798.24, 7,198.32 and 1,876.96 is: 2,815.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.24 : 7,198.32 = 1,876.96 : x
  2. Step 2: Convert to fraction form
    4,798.24/7,198.32 = 1,876.96/x
  3. Step 3: Cross multiply
    4,798.24x = 7,198.32 × 1,876.96
  4. Step 4: Simplify right side
    4,798.24x = 13,510,958.71
  5. Step 5: Solve for x
    x = 13,510,958.71/4,798.24
  6. Step 6: Final answer
    x = 2,815.82

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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.