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Finding the Fourth Proportional to 4,965.53, 7,450.02 and 3,114.45

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Solution

The fourth proportional to 4,965.53, 7,450.02 and 3,114.45 is: 4,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.53 : 7,450.02 = 3,114.45 : x
  2. Step 2: Convert to fraction form
    4,965.53/7,450.02 = 3,114.45/x
  3. Step 3: Cross multiply
    4,965.53x = 7,450.02 × 3,114.45
  4. Step 4: Simplify right side
    4,965.53x = 23,202,714.79
  5. Step 5: Solve for x
    x = 23,202,714.79/4,965.53
  6. Step 6: Final answer
    x = 4,672.76

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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.