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Finding the Fourth Proportional to 4,576.64, 6,857.77 and 3,539.18

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Solution

The fourth proportional to 4,576.64, 6,857.77 and 3,539.18 is: 5,303.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.64 : 6,857.77 = 3,539.18 : x
  2. Step 2: Convert to fraction form
    4,576.64/6,857.77 = 3,539.18/x
  3. Step 3: Cross multiply
    4,576.64x = 6,857.77 × 3,539.18
  4. Step 4: Simplify right side
    4,576.64x = 24,270,882.43
  5. Step 5: Solve for x
    x = 24,270,882.43/4,576.64
  6. Step 6: Final answer
    x = 5,303.21

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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.