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Finding the Fourth Proportional to 6,355.65, 8,770.69 and 3,523.02

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Solution

The fourth proportional to 6,355.65, 8,770.69 and 3,523.02 is: 4,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.65 : 8,770.69 = 3,523.02 : x
  2. Step 2: Convert to fraction form
    6,355.65/8,770.69 = 3,523.02/x
  3. Step 3: Cross multiply
    6,355.65x = 8,770.69 × 3,523.02
  4. Step 4: Simplify right side
    6,355.65x = 30,899,287.80
  5. Step 5: Solve for x
    x = 30,899,287.80/6,355.65
  6. Step 6: Final answer
    x = 4,861.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.