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Finding the Fourth Proportional to 5,017.70, 7,512.62 and 3,781.41

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Solution

The fourth proportional to 5,017.70, 7,512.62 and 3,781.41 is: 5,661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.70 : 7,512.62 = 3,781.41 : x
  2. Step 2: Convert to fraction form
    5,017.70/7,512.62 = 3,781.41/x
  3. Step 3: Cross multiply
    5,017.70x = 7,512.62 × 3,781.41
  4. Step 4: Simplify right side
    5,017.70x = 28,408,277.49
  5. Step 5: Solve for x
    x = 28,408,277.49/5,017.70
  6. Step 6: Final answer
    x = 5,661.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.