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Finding the Fourth Proportional to 3,562.23, 5,342.94 and 964.97

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Solution

The fourth proportional to 3,562.23, 5,342.94 and 964.97 is: 1,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.23 : 5,342.94 = 964.97 : x
  2. Step 2: Convert to fraction form
    3,562.23/5,342.94 = 964.97/x
  3. Step 3: Cross multiply
    3,562.23x = 5,342.94 × 964.97
  4. Step 4: Simplify right side
    3,562.23x = 5,155,770.13
  5. Step 5: Solve for x
    x = 5,155,770.13/3,562.23
  6. Step 6: Final answer
    x = 1,447.34

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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.