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Finding the Fourth Proportional to 3,877.96, 5,814.74 and 2,646.86

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Solution

The fourth proportional to 3,877.96, 5,814.74 and 2,646.86 is: 3,968.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.96 : 5,814.74 = 2,646.86 : x
  2. Step 2: Convert to fraction form
    3,877.96/5,814.74 = 2,646.86/x
  3. Step 3: Cross multiply
    3,877.96x = 5,814.74 × 2,646.86
  4. Step 4: Simplify right side
    3,877.96x = 15,390,817.25
  5. Step 5: Solve for x
    x = 15,390,817.25/3,877.96
  6. Step 6: Final answer
    x = 3,968.79

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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.