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Finding the Fourth Proportional to 5,551.74, 7,667.70 and 3,780.27

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Solution

The fourth proportional to 5,551.74, 7,667.70 and 3,780.27 is: 5,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,551.74 : 7,667.70 = 3,780.27 : x
  2. Step 2: Convert to fraction form
    5,551.74/7,667.70 = 3,780.27/x
  3. Step 3: Cross multiply
    5,551.74x = 7,667.70 × 3,780.27
  4. Step 4: Simplify right side
    5,551.74x = 28,985,976.28
  5. Step 5: Solve for x
    x = 28,985,976.28/5,551.74
  6. Step 6: Final answer
    x = 5,221.06

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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.