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Finding the Fourth Proportional to 4,286.69, 6,428.93 and 1,820.24

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Solution

The fourth proportional to 4,286.69, 6,428.93 and 1,820.24 is: 2,729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.69 : 6,428.93 = 1,820.24 : x
  2. Step 2: Convert to fraction form
    4,286.69/6,428.93 = 1,820.24/x
  3. Step 3: Cross multiply
    4,286.69x = 6,428.93 × 1,820.24
  4. Step 4: Simplify right side
    4,286.69x = 11,702,202.51
  5. Step 5: Solve for x
    x = 11,702,202.51/4,286.69
  6. Step 6: Final answer
    x = 2,729.89

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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.