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Finding the Fourth Proportional to 3,877.45, 5,812.86 and 1,684.51

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Solution

The fourth proportional to 3,877.45, 5,812.86 and 1,684.51 is: 2,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,877.45 : 5,812.86 = 1,684.51 : x
  2. Step 2: Convert to fraction form
    3,877.45/5,812.86 = 1,684.51/x
  3. Step 3: Cross multiply
    3,877.45x = 5,812.86 × 1,684.51
  4. Step 4: Simplify right side
    3,877.45x = 9,791,791.73
  5. Step 5: Solve for x
    x = 9,791,791.73/3,877.45
  6. Step 6: Final answer
    x = 2,525.32

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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.