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Finding the Fourth Proportional to 6,740.57, 9,302.02 and 3,908.50

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Solution

The fourth proportional to 6,740.57, 9,302.02 and 3,908.50 is: 5,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.57 : 9,302.02 = 3,908.50 : x
  2. Step 2: Convert to fraction form
    6,740.57/9,302.02 = 3,908.50/x
  3. Step 3: Cross multiply
    6,740.57x = 9,302.02 × 3,908.50
  4. Step 4: Simplify right side
    6,740.57x = 36,356,912.14
  5. Step 5: Solve for x
    x = 36,356,912.14/6,740.57
  6. Step 6: Final answer
    x = 5,393.74

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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.