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Finding the Fourth Proportional to 5,147.22, 7,714.80 and 4,563.33

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Solution

The fourth proportional to 5,147.22, 7,714.80 and 4,563.33 is: 6,839.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.22 : 7,714.80 = 4,563.33 : x
  2. Step 2: Convert to fraction form
    5,147.22/7,714.80 = 4,563.33/x
  3. Step 3: Cross multiply
    5,147.22x = 7,714.80 × 4,563.33
  4. Step 4: Simplify right side
    5,147.22x = 35,205,207.21
  5. Step 5: Solve for x
    x = 35,205,207.21/5,147.22
  6. Step 6: Final answer
    x = 6,839.66

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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.