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Finding the Fourth Proportional to 6,057.72, 8,359.62 and 3,405

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Solution

The fourth proportional to 6,057.72, 8,359.62 and 3,405 is: 4,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.72 : 8,359.62 = 3,405 : x
  2. Step 2: Convert to fraction form
    6,057.72/8,359.62 = 3,405/x
  3. Step 3: Cross multiply
    6,057.72x = 8,359.62 × 3,405
  4. Step 4: Simplify right side
    6,057.72x = 28,464,506.10
  5. Step 5: Solve for x
    x = 28,464,506.10/6,057.72
  6. Step 6: Final answer
    x = 4,698.88

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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.