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Finding the Fourth Proportional to 3,186.11, 4,397.05 and 1,927.21

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Solution

The fourth proportional to 3,186.11, 4,397.05 and 1,927.21 is: 2,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.11 : 4,397.05 = 1,927.21 : x
  2. Step 2: Convert to fraction form
    3,186.11/4,397.05 = 1,927.21/x
  3. Step 3: Cross multiply
    3,186.11x = 4,397.05 × 1,927.21
  4. Step 4: Simplify right side
    3,186.11x = 8,474,038.73
  5. Step 5: Solve for x
    x = 8,474,038.73/3,186.11
  6. Step 6: Final answer
    x = 2,659.68

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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.