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Finding the Fourth Proportional to 5,314.22, 7,333.86 and 3,076.20

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Solution

The fourth proportional to 5,314.22, 7,333.86 and 3,076.20 is: 4,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,314.22 : 7,333.86 = 3,076.20 : x
  2. Step 2: Convert to fraction form
    5,314.22/7,333.86 = 3,076.20/x
  3. Step 3: Cross multiply
    5,314.22x = 7,333.86 × 3,076.20
  4. Step 4: Simplify right side
    5,314.22x = 22,560,420.13
  5. Step 5: Solve for x
    x = 22,560,420.13/5,314.22
  6. Step 6: Final answer
    x = 4,245.29

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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.