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Finding the Fourth Proportional to 3,873.26, 5,812 and 1,681.98

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Solution

The fourth proportional to 3,873.26, 5,812 and 1,681.98 is: 2,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.26 : 5,812 = 1,681.98 : x
  2. Step 2: Convert to fraction form
    3,873.26/5,812 = 1,681.98/x
  3. Step 3: Cross multiply
    3,873.26x = 5,812 × 1,681.98
  4. Step 4: Simplify right side
    3,873.26x = 9,775,667.76
  5. Step 5: Solve for x
    x = 9,775,667.76/3,873.26
  6. Step 6: Final answer
    x = 2,523.89

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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.