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Finding the Fourth Proportional to 6,349.70, 8,769.96 and 5,980.64

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Solution

The fourth proportional to 6,349.70, 8,769.96 and 5,980.64 is: 8,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.70 : 8,769.96 = 5,980.64 : x
  2. Step 2: Convert to fraction form
    6,349.70/8,769.96 = 5,980.64/x
  3. Step 3: Cross multiply
    6,349.70x = 8,769.96 × 5,980.64
  4. Step 4: Simplify right side
    6,349.70x = 52,450,001.48
  5. Step 5: Solve for x
    x = 52,450,001.48/6,349.70
  6. Step 6: Final answer
    x = 8,260.24

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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.