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Finding the Fourth Proportional to 6,505, 8,976.90 and 3,710.44

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Solution

The fourth proportional to 6,505, 8,976.90 and 3,710.44 is: 5,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505 : 8,976.90 = 3,710.44 : x
  2. Step 2: Convert to fraction form
    6,505/8,976.90 = 3,710.44/x
  3. Step 3: Cross multiply
    6,505x = 8,976.90 × 3,710.44
  4. Step 4: Simplify right side
    6,505x = 33,308,248.84
  5. Step 5: Solve for x
    x = 33,308,248.84/6,505
  6. Step 6: Final answer
    x = 5,120.41

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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.