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Finding the Fourth Proportional to 6,452.54, 8,905.02 and 3,800.47

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Solution

The fourth proportional to 6,452.54, 8,905.02 and 3,800.47 is: 5,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.54 : 8,905.02 = 3,800.47 : x
  2. Step 2: Convert to fraction form
    6,452.54/8,905.02 = 3,800.47/x
  3. Step 3: Cross multiply
    6,452.54x = 8,905.02 × 3,800.47
  4. Step 4: Simplify right side
    6,452.54x = 33,843,197.83
  5. Step 5: Solve for x
    x = 33,843,197.83/6,452.54
  6. Step 6: Final answer
    x = 5,244.94

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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.