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Finding the Fourth Proportional to 3,779.87, 5,214.54 and 2,519.70

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Solution

The fourth proportional to 3,779.87, 5,214.54 and 2,519.70 is: 3,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.87 : 5,214.54 = 2,519.70 : x
  2. Step 2: Convert to fraction form
    3,779.87/5,214.54 = 2,519.70/x
  3. Step 3: Cross multiply
    3,779.87x = 5,214.54 × 2,519.70
  4. Step 4: Simplify right side
    3,779.87x = 13,139,076.44
  5. Step 5: Solve for x
    x = 13,139,076.44/3,779.87
  6. Step 6: Final answer
    x = 3,476.07

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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.