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Finding the Fourth Proportional to 6,137.47, 8,470.29 and 3,620.40

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Solution

The fourth proportional to 6,137.47, 8,470.29 and 3,620.40 is: 4,996.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.47 : 8,470.29 = 3,620.40 : x
  2. Step 2: Convert to fraction form
    6,137.47/8,470.29 = 3,620.40/x
  3. Step 3: Cross multiply
    6,137.47x = 8,470.29 × 3,620.40
  4. Step 4: Simplify right side
    6,137.47x = 30,665,837.92
  5. Step 5: Solve for x
    x = 30,665,837.92/6,137.47
  6. Step 6: Final answer
    x = 4,996.49

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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.