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Finding the Fourth Proportional to 3,876.40, 5,814.48 and 1,411.26

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Solution

The fourth proportional to 3,876.40, 5,814.48 and 1,411.26 is: 2,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.40 : 5,814.48 = 1,411.26 : x
  2. Step 2: Convert to fraction form
    3,876.40/5,814.48 = 1,411.26/x
  3. Step 3: Cross multiply
    3,876.40x = 5,814.48 × 1,411.26
  4. Step 4: Simplify right side
    3,876.40x = 8,205,743.04
  5. Step 5: Solve for x
    x = 8,205,743.04/3,876.40
  6. Step 6: Final answer
    x = 2,116.85

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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.