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Finding the Fourth Proportional to 5,674.68, 8,513.82 and 3,076.20

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Solution

The fourth proportional to 5,674.68, 8,513.82 and 3,076.20 is: 4,615.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.68 : 8,513.82 = 3,076.20 : x
  2. Step 2: Convert to fraction form
    5,674.68/8,513.82 = 3,076.20/x
  3. Step 3: Cross multiply
    5,674.68x = 8,513.82 × 3,076.20
  4. Step 4: Simplify right side
    5,674.68x = 26,190,213.08
  5. Step 5: Solve for x
    x = 26,190,213.08/5,674.68
  6. Step 6: Final answer
    x = 4,615.28

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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.