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Finding the Fourth Proportional to 6,107.50, 8,428.68 and 3,868.60

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Solution

The fourth proportional to 6,107.50, 8,428.68 and 3,868.60 is: 5,338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.50 : 8,428.68 = 3,868.60 : x
  2. Step 2: Convert to fraction form
    6,107.50/8,428.68 = 3,868.60/x
  3. Step 3: Cross multiply
    6,107.50x = 8,428.68 × 3,868.60
  4. Step 4: Simplify right side
    6,107.50x = 32,607,191.45
  5. Step 5: Solve for x
    x = 32,607,191.45/6,107.50
  6. Step 6: Final answer
    x = 5,338.88

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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.