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Finding the Fourth Proportional to 3,877.68, 5,817.64 and 1,412.46

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Solution

The fourth proportional to 3,877.68, 5,817.64 and 1,412.46 is: 2,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.68 : 5,817.64 = 1,412.46 : x
  2. Step 2: Convert to fraction form
    3,877.68/5,817.64 = 1,412.46/x
  3. Step 3: Cross multiply
    3,877.68x = 5,817.64 × 1,412.46
  4. Step 4: Simplify right side
    3,877.68x = 8,217,183.79
  5. Step 5: Solve for x
    x = 8,217,183.79/3,877.68
  6. Step 6: Final answer
    x = 2,119.10

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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.