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Finding the Fourth Proportional to 3,876.26, 5,816.50 and 1,684.98

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Solution

The fourth proportional to 3,876.26, 5,816.50 and 1,684.98 is: 2,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.26 : 5,816.50 = 1,684.98 : x
  2. Step 2: Convert to fraction form
    3,876.26/5,816.50 = 1,684.98/x
  3. Step 3: Cross multiply
    3,876.26x = 5,816.50 × 1,684.98
  4. Step 4: Simplify right side
    3,876.26x = 9,800,686.17
  5. Step 5: Solve for x
    x = 9,800,686.17/3,876.26
  6. Step 6: Final answer
    x = 2,528.39

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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.