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Finding the Fourth Proportional to 6,057.66, 8,359.74 and 3,405.22

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Solution

The fourth proportional to 6,057.66, 8,359.74 and 3,405.22 is: 4,699.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.66 : 8,359.74 = 3,405.22 : x
  2. Step 2: Convert to fraction form
    6,057.66/8,359.74 = 3,405.22/x
  3. Step 3: Cross multiply
    6,057.66x = 8,359.74 × 3,405.22
  4. Step 4: Simplify right side
    6,057.66x = 28,466,753.84
  5. Step 5: Solve for x
    x = 28,466,753.84/6,057.66
  6. Step 6: Final answer
    x = 4,699.30

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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.