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Finding the Fourth Proportional to 3,667.80, 5,061.33 and 2,095.86

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Solution

The fourth proportional to 3,667.80, 5,061.33 and 2,095.86 is: 2,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.80 : 5,061.33 = 2,095.86 : x
  2. Step 2: Convert to fraction form
    3,667.80/5,061.33 = 2,095.86/x
  3. Step 3: Cross multiply
    3,667.80x = 5,061.33 × 2,095.86
  4. Step 4: Simplify right side
    3,667.80x = 10,607,839.09
  5. Step 5: Solve for x
    x = 10,607,839.09/3,667.80
  6. Step 6: Final answer
    x = 2,892.15

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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.