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Finding the Fourth Proportional to 6,170.50, 8,515.29 and 3,686.50

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Solution

The fourth proportional to 6,170.50, 8,515.29 and 3,686.50 is: 5,087.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.50 : 8,515.29 = 3,686.50 : x
  2. Step 2: Convert to fraction form
    6,170.50/8,515.29 = 3,686.50/x
  3. Step 3: Cross multiply
    6,170.50x = 8,515.29 × 3,686.50
  4. Step 4: Simplify right side
    6,170.50x = 31,391,616.59
  5. Step 5: Solve for x
    x = 31,391,616.59/6,170.50
  6. Step 6: Final answer
    x = 5,087.37

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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.