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Finding the Fourth Proportional to 4,796.82, 7,195.64 and 1,465.82

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Solution

The fourth proportional to 4,796.82, 7,195.64 and 1,465.82 is: 2,198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.82 : 7,195.64 = 1,465.82 : x
  2. Step 2: Convert to fraction form
    4,796.82/7,195.64 = 1,465.82/x
  3. Step 3: Cross multiply
    4,796.82x = 7,195.64 × 1,465.82
  4. Step 4: Simplify right side
    4,796.82x = 10,547,513.02
  5. Step 5: Solve for x
    x = 10,547,513.02/4,796.82
  6. Step 6: Final answer
    x = 2,198.86

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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.