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Finding the Fourth Proportional to 6,371.50, 8,792.70 and 3,577

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Solution

The fourth proportional to 6,371.50, 8,792.70 and 3,577 is: 4,936.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,371.50 : 8,792.70 = 3,577 : x
  2. Step 2: Convert to fraction form
    6,371.50/8,792.70 = 3,577/x
  3. Step 3: Cross multiply
    6,371.50x = 8,792.70 × 3,577
  4. Step 4: Simplify right side
    6,371.50x = 31,451,487.90
  5. Step 5: Solve for x
    x = 31,451,487.90/6,371.50
  6. Step 6: Final answer
    x = 4,936.28

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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.