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Finding the Fourth Proportional to 5,489.85, 7,570.11 and 4,426.50

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Solution

The fourth proportional to 5,489.85, 7,570.11 and 4,426.50 is: 6,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.85 : 7,570.11 = 4,426.50 : x
  2. Step 2: Convert to fraction form
    5,489.85/7,570.11 = 4,426.50/x
  3. Step 3: Cross multiply
    5,489.85x = 7,570.11 × 4,426.50
  4. Step 4: Simplify right side
    5,489.85x = 33,509,091.92
  5. Step 5: Solve for x
    x = 33,509,091.92/5,489.85
  6. Step 6: Final answer
    x = 6,103.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.