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Finding the Fourth Proportional to 3,157.02, 4,736.30 and 965.97

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Solution

The fourth proportional to 3,157.02, 4,736.30 and 965.97 is: 1,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.02 : 4,736.30 = 965.97 : x
  2. Step 2: Convert to fraction form
    3,157.02/4,736.30 = 965.97/x
  3. Step 3: Cross multiply
    3,157.02x = 4,736.30 × 965.97
  4. Step 4: Simplify right side
    3,157.02x = 4,575,123.71
  5. Step 5: Solve for x
    x = 4,575,123.71/3,157.02
  6. Step 6: Final answer
    x = 1,449.19

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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.