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Finding the Fourth Proportional to 6,238.80, 8,611.20 and 3,586.50

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Solution

The fourth proportional to 6,238.80, 8,611.20 and 3,586.50 is: 4,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.80 : 8,611.20 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    6,238.80/8,611.20 = 3,586.50/x
  3. Step 3: Cross multiply
    6,238.80x = 8,611.20 × 3,586.50
  4. Step 4: Simplify right side
    6,238.80x = 30,884,068.80
  5. Step 5: Solve for x
    x = 30,884,068.80/6,238.80
  6. Step 6: Final answer
    x = 4,950.32

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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.