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Finding the Fourth Proportional to 6,284.58, 8,672.67 and 3,452.00

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Solution

The fourth proportional to 6,284.58, 8,672.67 and 3,452.00 is: 4,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.58 : 8,672.67 = 3,452.00 : x
  2. Step 2: Convert to fraction form
    6,284.58/8,672.67 = 3,452.00/x
  3. Step 3: Cross multiply
    6,284.58x = 8,672.67 × 3,452.00
  4. Step 4: Simplify right side
    6,284.58x = 29,938,013.48
  5. Step 5: Solve for x
    x = 29,938,013.48/6,284.58
  6. Step 6: Final answer
    x = 4,763.73

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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.