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Finding the Fourth Proportional to 3,186.56, 4,773 and 2,450.72

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Solution

The fourth proportional to 3,186.56, 4,773 and 2,450.72 is: 3,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.56 : 4,773 = 2,450.72 : x
  2. Step 2: Convert to fraction form
    3,186.56/4,773 = 2,450.72/x
  3. Step 3: Cross multiply
    3,186.56x = 4,773 × 2,450.72
  4. Step 4: Simplify right side
    3,186.56x = 11,697,286.56
  5. Step 5: Solve for x
    x = 11,697,286.56/3,186.56
  6. Step 6: Final answer
    x = 3,670.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.