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Finding the Fourth Proportional to 3,684.65, 5,083.14 and 2,191.75

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Solution

The fourth proportional to 3,684.65, 5,083.14 and 2,191.75 is: 3,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.65 : 5,083.14 = 2,191.75 : x
  2. Step 2: Convert to fraction form
    3,684.65/5,083.14 = 2,191.75/x
  3. Step 3: Cross multiply
    3,684.65x = 5,083.14 × 2,191.75
  4. Step 4: Simplify right side
    3,684.65x = 11,140,967.61
  5. Step 5: Solve for x
    x = 11,140,967.61/3,684.65
  6. Step 6: Final answer
    x = 3,023.62

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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.