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Finding the Fourth Proportional to 6,566.50, 9,059.49 and 3,733.54

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Solution

The fourth proportional to 6,566.50, 9,059.49 and 3,733.54 is: 5,150.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.50 : 9,059.49 = 3,733.54 : x
  2. Step 2: Convert to fraction form
    6,566.50/9,059.49 = 3,733.54/x
  3. Step 3: Cross multiply
    6,566.50x = 9,059.49 × 3,733.54
  4. Step 4: Simplify right side
    6,566.50x = 33,823,968.29
  5. Step 5: Solve for x
    x = 33,823,968.29/6,566.50
  6. Step 6: Final answer
    x = 5,150.99

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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.