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Finding the Fourth Proportional to 6,325.88, 8,729.74 and 3,674.84

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Solution

The fourth proportional to 6,325.88, 8,729.74 and 3,674.84 is: 5,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.88 : 8,729.74 = 3,674.84 : x
  2. Step 2: Convert to fraction form
    6,325.88/8,729.74 = 3,674.84/x
  3. Step 3: Cross multiply
    6,325.88x = 8,729.74 × 3,674.84
  4. Step 4: Simplify right side
    6,325.88x = 32,080,397.74
  5. Step 5: Solve for x
    x = 32,080,397.74/6,325.88
  6. Step 6: Final answer
    x = 5,071.29

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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.