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Finding the Fourth Proportional to 3,686.63, 5,086.46 and 2,193.80

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Solution

The fourth proportional to 3,686.63, 5,086.46 and 2,193.80 is: 3,026.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.63 : 5,086.46 = 2,193.80 : x
  2. Step 2: Convert to fraction form
    3,686.63/5,086.46 = 2,193.80/x
  3. Step 3: Cross multiply
    3,686.63x = 5,086.46 × 2,193.80
  4. Step 4: Simplify right side
    3,686.63x = 11,158,656.00
  5. Step 5: Solve for x
    x = 11,158,656.00/3,686.63
  6. Step 6: Final answer
    x = 3,026.79

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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.