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Finding the Fourth Proportional to 3,877.72, 5,814.36 and 2,646.62

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Solution

The fourth proportional to 3,877.72, 5,814.36 and 2,646.62 is: 3,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.72 : 5,814.36 = 2,646.62 : x
  2. Step 2: Convert to fraction form
    3,877.72/5,814.36 = 2,646.62/x
  3. Step 3: Cross multiply
    3,877.72x = 5,814.36 × 2,646.62
  4. Step 4: Simplify right side
    3,877.72x = 15,388,379.01
  5. Step 5: Solve for x
    x = 15,388,379.01/3,877.72
  6. Step 6: Final answer
    x = 3,968.41

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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.