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Finding the Fourth Proportional to 3,779.81, 5,214.07 and 2,414.52

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Solution

The fourth proportional to 3,779.81, 5,214.07 and 2,414.52 is: 3,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.81 : 5,214.07 = 2,414.52 : x
  2. Step 2: Convert to fraction form
    3,779.81/5,214.07 = 2,414.52/x
  3. Step 3: Cross multiply
    3,779.81x = 5,214.07 × 2,414.52
  4. Step 4: Simplify right side
    3,779.81x = 12,589,476.30
  5. Step 5: Solve for x
    x = 12,589,476.30/3,779.81
  6. Step 6: Final answer
    x = 3,330.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.