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Finding the Fourth Proportional to 3,558.85, 5,338.28 and 961.79

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Solution

The fourth proportional to 3,558.85, 5,338.28 and 961.79 is: 1,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.85 : 5,338.28 = 961.79 : x
  2. Step 2: Convert to fraction form
    3,558.85/5,338.28 = 961.79/x
  3. Step 3: Cross multiply
    3,558.85x = 5,338.28 × 961.79
  4. Step 4: Simplify right side
    3,558.85x = 5,134,272.82
  5. Step 5: Solve for x
    x = 5,134,272.82/3,558.85
  6. Step 6: Final answer
    x = 1,442.68

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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.