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Finding the Fourth Proportional to 6,452.90, 8,905.75 and 3,800.25

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Solution

The fourth proportional to 6,452.90, 8,905.75 and 3,800.25 is: 5,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.90 : 8,905.75 = 3,800.25 : x
  2. Step 2: Convert to fraction form
    6,452.90/8,905.75 = 3,800.25/x
  3. Step 3: Cross multiply
    6,452.90x = 8,905.75 × 3,800.25
  4. Step 4: Simplify right side
    6,452.90x = 33,844,066.94
  5. Step 5: Solve for x
    x = 33,844,066.94/6,452.90
  6. Step 6: Final answer
    x = 5,244.79

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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.