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Finding the Fourth Proportional to 3,562.08, 5,343.24 and 965.07

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Solution

The fourth proportional to 3,562.08, 5,343.24 and 965.07 is: 1,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.08 : 5,343.24 = 965.07 : x
  2. Step 2: Convert to fraction form
    3,562.08/5,343.24 = 965.07/x
  3. Step 3: Cross multiply
    3,562.08x = 5,343.24 × 965.07
  4. Step 4: Simplify right side
    3,562.08x = 5,156,600.63
  5. Step 5: Solve for x
    x = 5,156,600.63/3,562.08
  6. Step 6: Final answer
    x = 1,447.64

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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.