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Finding the Fourth Proportional to 3,277.71, 4,911.09 and 1,426.05

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Solution

The fourth proportional to 3,277.71, 4,911.09 and 1,426.05 is: 2,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.71 : 4,911.09 = 1,426.05 : x
  2. Step 2: Convert to fraction form
    3,277.71/4,911.09 = 1,426.05/x
  3. Step 3: Cross multiply
    3,277.71x = 4,911.09 × 1,426.05
  4. Step 4: Simplify right side
    3,277.71x = 7,003,459.89
  5. Step 5: Solve for x
    x = 7,003,459.89/3,277.71
  6. Step 6: Final answer
    x = 2,136.69

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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.