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Finding the Fourth Proportional to 3,562.46, 5,343.96 and 965.36

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Solution

The fourth proportional to 3,562.46, 5,343.96 and 965.36 is: 1,448.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.46 : 5,343.96 = 965.36 : x
  2. Step 2: Convert to fraction form
    3,562.46/5,343.96 = 965.36/x
  3. Step 3: Cross multiply
    3,562.46x = 5,343.96 × 965.36
  4. Step 4: Simplify right side
    3,562.46x = 5,158,845.23
  5. Step 5: Solve for x
    x = 5,158,845.23/3,562.46
  6. Step 6: Final answer
    x = 1,448.11

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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.