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Finding the Fourth Proportional to 6,137.61, 8,470.23 and 3,621.20

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Solution

The fourth proportional to 6,137.61, 8,470.23 and 3,621.20 is: 4,997.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.61 : 8,470.23 = 3,621.20 : x
  2. Step 2: Convert to fraction form
    6,137.61/8,470.23 = 3,621.20/x
  3. Step 3: Cross multiply
    6,137.61x = 8,470.23 × 3,621.20
  4. Step 4: Simplify right side
    6,137.61x = 30,672,354.52
  5. Step 5: Solve for x
    x = 30,672,354.52/6,137.61
  6. Step 6: Final answer
    x = 4,997.44

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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.