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Finding the Fourth Proportional to 4,567.44, 6,847.50 and 4,309.86

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Solution

The fourth proportional to 4,567.44, 6,847.50 and 4,309.86 is: 6,461.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.44 : 6,847.50 = 4,309.86 : x
  2. Step 2: Convert to fraction form
    4,567.44/6,847.50 = 4,309.86/x
  3. Step 3: Cross multiply
    4,567.44x = 6,847.50 × 4,309.86
  4. Step 4: Simplify right side
    4,567.44x = 29,511,766.35
  5. Step 5: Solve for x
    x = 29,511,766.35/4,567.44
  6. Step 6: Final answer
    x = 6,461.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.