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Finding the Fourth Proportional to 3,562.42, 5,343.15 and 965.56

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Solution

The fourth proportional to 3,562.42, 5,343.15 and 965.56 is: 1,448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.42 : 5,343.15 = 965.56 : x
  2. Step 2: Convert to fraction form
    3,562.42/5,343.15 = 965.56/x
  3. Step 3: Cross multiply
    3,562.42x = 5,343.15 × 965.56
  4. Step 4: Simplify right side
    3,562.42x = 5,159,131.91
  5. Step 5: Solve for x
    x = 5,159,131.91/3,562.42
  6. Step 6: Final answer
    x = 1,448.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.