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Finding the Fourth Proportional to 6,000.57, 8,276.85 and 3,644.10

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Solution

The fourth proportional to 6,000.57, 8,276.85 and 3,644.10 is: 5,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.57 : 8,276.85 = 3,644.10 : x
  2. Step 2: Convert to fraction form
    6,000.57/8,276.85 = 3,644.10/x
  3. Step 3: Cross multiply
    6,000.57x = 8,276.85 × 3,644.10
  4. Step 4: Simplify right side
    6,000.57x = 30,161,669.09
  5. Step 5: Solve for x
    x = 30,161,669.09/6,000.57
  6. Step 6: Final answer
    x = 5,026.47

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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.