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Finding the Fourth Proportional to 3,667.26, 5,061.65 and 3,076.77

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Solution

The fourth proportional to 3,667.26, 5,061.65 and 3,076.77 is: 4,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.26 : 5,061.65 = 3,076.77 : x
  2. Step 2: Convert to fraction form
    3,667.26/5,061.65 = 3,076.77/x
  3. Step 3: Cross multiply
    3,667.26x = 5,061.65 × 3,076.77
  4. Step 4: Simplify right side
    3,667.26x = 15,573,517.49
  5. Step 5: Solve for x
    x = 15,573,517.49/3,667.26
  6. Step 6: Final answer
    x = 4,246.64

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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.