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Finding the Fourth Proportional to 6,308.49, 8,705.73 and 3,790.64

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Solution

The fourth proportional to 6,308.49, 8,705.73 and 3,790.64 is: 5,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.49 : 8,705.73 = 3,790.64 : x
  2. Step 2: Convert to fraction form
    6,308.49/8,705.73 = 3,790.64/x
  3. Step 3: Cross multiply
    6,308.49x = 8,705.73 × 3,790.64
  4. Step 4: Simplify right side
    6,308.49x = 33,000,331.66
  5. Step 5: Solve for x
    x = 33,000,331.66/6,308.49
  6. Step 6: Final answer
    x = 5,231.10

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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.