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Finding the Fourth Proportional to 3,562.14, 5,343.48 and 965.28

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Solution

The fourth proportional to 3,562.14, 5,343.48 and 965.28 is: 1,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.14 : 5,343.48 = 965.28 : x
  2. Step 2: Convert to fraction form
    3,562.14/5,343.48 = 965.28/x
  3. Step 3: Cross multiply
    3,562.14x = 5,343.48 × 965.28
  4. Step 4: Simplify right side
    3,562.14x = 5,157,954.37
  5. Step 5: Solve for x
    x = 5,157,954.37/3,562.14
  6. Step 6: Final answer
    x = 1,447.99

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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.