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Finding the Fourth Proportional to 3,559.01, 5,337.91 and 961.34

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Solution

The fourth proportional to 3,559.01, 5,337.91 and 961.34 is: 1,441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,559.01 : 5,337.91 = 961.34 : x
  2. Step 2: Convert to fraction form
    3,559.01/5,337.91 = 961.34/x
  3. Step 3: Cross multiply
    3,559.01x = 5,337.91 × 961.34
  4. Step 4: Simplify right side
    3,559.01x = 5,131,546.40
  5. Step 5: Solve for x
    x = 5,131,546.40/3,559.01
  6. Step 6: Final answer
    x = 1,441.85

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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.