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Finding the Fourth Proportional to 6,057.71, 8,359.54 and 3,405.05

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Solution

The fourth proportional to 6,057.71, 8,359.54 and 3,405.05 is: 4,698.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.71 : 8,359.54 = 3,405.05 : x
  2. Step 2: Convert to fraction form
    6,057.71/8,359.54 = 3,405.05/x
  3. Step 3: Cross multiply
    6,057.71x = 8,359.54 × 3,405.05
  4. Step 4: Simplify right side
    6,057.71x = 28,464,651.68
  5. Step 5: Solve for x
    x = 28,464,651.68/6,057.71
  6. Step 6: Final answer
    x = 4,698.91

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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.