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Finding the Fourth Proportional to 4,786.29, 7,181.66 and 1,863.81

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Solution

The fourth proportional to 4,786.29, 7,181.66 and 1,863.81 is: 2,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.29 : 7,181.66 = 1,863.81 : x
  2. Step 2: Convert to fraction form
    4,786.29/7,181.66 = 1,863.81/x
  3. Step 3: Cross multiply
    4,786.29x = 7,181.66 × 1,863.81
  4. Step 4: Simplify right side
    4,786.29x = 13,385,254.38
  5. Step 5: Solve for x
    x = 13,385,254.38/4,786.29
  6. Step 6: Final answer
    x = 2,796.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.