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Finding the Fourth Proportional to 4,965.74, 7,437.68 and 3,314.56

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Solution

The fourth proportional to 4,965.74, 7,437.68 and 3,314.56 is: 4,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.74 : 7,437.68 = 3,314.56 : x
  2. Step 2: Convert to fraction form
    4,965.74/7,437.68 = 3,314.56/x
  3. Step 3: Cross multiply
    4,965.74x = 7,437.68 × 3,314.56
  4. Step 4: Simplify right side
    4,965.74x = 24,652,613.88
  5. Step 5: Solve for x
    x = 24,652,613.88/4,965.74
  6. Step 6: Final answer
    x = 4,964.54

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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.