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Finding the Fourth Proportional to 6,257.07, 8,632.19 and 3,738.60

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Solution

The fourth proportional to 6,257.07, 8,632.19 and 3,738.60 is: 5,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.07 : 8,632.19 = 3,738.60 : x
  2. Step 2: Convert to fraction form
    6,257.07/8,632.19 = 3,738.60/x
  3. Step 3: Cross multiply
    6,257.07x = 8,632.19 × 3,738.60
  4. Step 4: Simplify right side
    6,257.07x = 32,272,314.88
  5. Step 5: Solve for x
    x = 32,272,314.88/6,257.07
  6. Step 6: Final answer
    x = 5,157.74

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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.