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Finding the Fourth Proportional to 3,562.58, 5,343.89 and 965.52

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Solution

The fourth proportional to 3,562.58, 5,343.89 and 965.52 is: 1,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.58 : 5,343.89 = 965.52 : x
  2. Step 2: Convert to fraction form
    3,562.58/5,343.89 = 965.52/x
  3. Step 3: Cross multiply
    3,562.58x = 5,343.89 × 965.52
  4. Step 4: Simplify right side
    3,562.58x = 5,159,632.67
  5. Step 5: Solve for x
    x = 5,159,632.67/3,562.58
  6. Step 6: Final answer
    x = 1,448.29

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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.