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Finding the Fourth Proportional to 3,667.63, 5,046.54 and 3,580.15

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Solution

The fourth proportional to 3,667.63, 5,046.54 and 3,580.15 is: 4,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667.63 : 5,046.54 = 3,580.15 : x
  2. Step 2: Convert to fraction form
    3,667.63/5,046.54 = 3,580.15/x
  3. Step 3: Cross multiply
    3,667.63x = 5,046.54 × 3,580.15
  4. Step 4: Simplify right side
    3,667.63x = 18,067,370.18
  5. Step 5: Solve for x
    x = 18,067,370.18/3,667.63
  6. Step 6: Final answer
    x = 4,926.17

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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.