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Finding the Fourth Proportional to 3,686.50, 5,087.67 and 2,114.90

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Solution

The fourth proportional to 3,686.50, 5,087.67 and 2,114.90 is: 2,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.50 : 5,087.67 = 2,114.90 : x
  2. Step 2: Convert to fraction form
    3,686.50/5,087.67 = 2,114.90/x
  3. Step 3: Cross multiply
    3,686.50x = 5,087.67 × 2,114.90
  4. Step 4: Simplify right side
    3,686.50x = 10,759,913.28
  5. Step 5: Solve for x
    x = 10,759,913.28/3,686.50
  6. Step 6: Final answer
    x = 2,918.73

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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.