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Finding the Fourth Proportional to 6,355.74, 8,770.91 and 3,523.13

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Solution

The fourth proportional to 6,355.74, 8,770.91 and 3,523.13 is: 4,861.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.74 : 8,770.91 = 3,523.13 : x
  2. Step 2: Convert to fraction form
    6,355.74/8,770.91 = 3,523.13/x
  3. Step 3: Cross multiply
    6,355.74x = 8,770.91 × 3,523.13
  4. Step 4: Simplify right side
    6,355.74x = 30,900,994.68
  5. Step 5: Solve for x
    x = 30,900,994.68/6,355.74
  6. Step 6: Final answer
    x = 4,861.90

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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.