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Finding the Fourth Proportional to 6,506.88, 8,979.75 and 3,674.85

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Solution

The fourth proportional to 6,506.88, 8,979.75 and 3,674.85 is: 5,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.88 : 8,979.75 = 3,674.85 : x
  2. Step 2: Convert to fraction form
    6,506.88/8,979.75 = 3,674.85/x
  3. Step 3: Cross multiply
    6,506.88x = 8,979.75 × 3,674.85
  4. Step 4: Simplify right side
    6,506.88x = 32,999,234.29
  5. Step 5: Solve for x
    x = 32,999,234.29/6,506.88
  6. Step 6: Final answer
    x = 5,071.44

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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.