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Finding the Fourth Proportional to 6,057.46, 8,359.35 and 3,699.60

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Solution

The fourth proportional to 6,057.46, 8,359.35 and 3,699.60 is: 5,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.46 : 8,359.35 = 3,699.60 : x
  2. Step 2: Convert to fraction form
    6,057.46/8,359.35 = 3,699.60/x
  3. Step 3: Cross multiply
    6,057.46x = 8,359.35 × 3,699.60
  4. Step 4: Simplify right side
    6,057.46x = 30,926,250.36
  5. Step 5: Solve for x
    x = 30,926,250.36/6,057.46
  6. Step 6: Final answer
    x = 5,105.48

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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.