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Finding the Fourth Proportional to 5,800.50, 8,004.84 and 3,563.62

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Solution

The fourth proportional to 5,800.50, 8,004.84 and 3,563.62 is: 4,917.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.50 : 8,004.84 = 3,563.62 : x
  2. Step 2: Convert to fraction form
    5,800.50/8,004.84 = 3,563.62/x
  3. Step 3: Cross multiply
    5,800.50x = 8,004.84 × 3,563.62
  4. Step 4: Simplify right side
    5,800.50x = 28,526,207.92
  5. Step 5: Solve for x
    x = 28,526,207.92/5,800.50
  6. Step 6: Final answer
    x = 4,917.89

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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.