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Finding the Fourth Proportional to 3,562.79, 5,344.18 and 965.72

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Solution

The fourth proportional to 3,562.79, 5,344.18 and 965.72 is: 1,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.79 : 5,344.18 = 965.72 : x
  2. Step 2: Convert to fraction form
    3,562.79/5,344.18 = 965.72/x
  3. Step 3: Cross multiply
    3,562.79x = 5,344.18 × 965.72
  4. Step 4: Simplify right side
    3,562.79x = 5,160,992.46
  5. Step 5: Solve for x
    x = 5,160,992.46/3,562.79
  6. Step 6: Final answer
    x = 1,448.58

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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.