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Finding the Fourth Proportional to 3,686.68, 5,087.64 and 2,093.14

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Solution

The fourth proportional to 3,686.68, 5,087.64 and 2,093.14 is: 2,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.68 : 5,087.64 = 2,093.14 : x
  2. Step 2: Convert to fraction form
    3,686.68/5,087.64 = 2,093.14/x
  3. Step 3: Cross multiply
    3,686.68x = 5,087.64 × 2,093.14
  4. Step 4: Simplify right side
    3,686.68x = 10,649,142.79
  5. Step 5: Solve for x
    x = 10,649,142.79/3,686.68
  6. Step 6: Final answer
    x = 2,888.55

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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.