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Finding the Fourth Proportional to 5,647, 8,475.90 and 2,359.22

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Solution

The fourth proportional to 5,647, 8,475.90 and 2,359.22 is: 3,541.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647 : 8,475.90 = 2,359.22 : x
  2. Step 2: Convert to fraction form
    5,647/8,475.90 = 2,359.22/x
  3. Step 3: Cross multiply
    5,647x = 8,475.90 × 2,359.22
  4. Step 4: Simplify right side
    5,647x = 19,996,512.80
  5. Step 5: Solve for x
    x = 19,996,512.80/5,647
  6. Step 6: Final answer
    x = 3,541.09

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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.