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Finding the Fourth Proportional to 5,216.00, 7,817.72 and 3,020.09

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Solution

The fourth proportional to 5,216.00, 7,817.72 and 3,020.09 is: 4,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.00 : 7,817.72 = 3,020.09 : x
  2. Step 2: Convert to fraction form
    5,216.00/7,817.72 = 3,020.09/x
  3. Step 3: Cross multiply
    5,216.00x = 7,817.72 × 3,020.09
  4. Step 4: Simplify right side
    5,216.00x = 23,610,163.81
  5. Step 5: Solve for x
    x = 23,610,163.81/5,216.00
  6. Step 6: Final answer
    x = 4,526.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.