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Finding the Fourth Proportional to 3,686.63, 5,087.37 and 2,008.02

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Solution

The fourth proportional to 3,686.63, 5,087.37 and 2,008.02 is: 2,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.63 : 5,087.37 = 2,008.02 : x
  2. Step 2: Convert to fraction form
    3,686.63/5,087.37 = 2,008.02/x
  3. Step 3: Cross multiply
    3,686.63x = 5,087.37 × 2,008.02
  4. Step 4: Simplify right side
    3,686.63x = 10,215,567.32
  5. Step 5: Solve for x
    x = 10,215,567.32/3,686.63
  6. Step 6: Final answer
    x = 2,770.98

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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.