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Finding the Fourth Proportional to 5,533.98, 8,300.97 and 1,638.09

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Solution

The fourth proportional to 5,533.98, 8,300.97 and 1,638.09 is: 2,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,533.98 : 8,300.97 = 1,638.09 : x
  2. Step 2: Convert to fraction form
    5,533.98/8,300.97 = 1,638.09/x
  3. Step 3: Cross multiply
    5,533.98x = 8,300.97 × 1,638.09
  4. Step 4: Simplify right side
    5,533.98x = 13,597,735.95
  5. Step 5: Solve for x
    x = 13,597,735.95/5,533.98
  6. Step 6: Final answer
    x = 2,457.14

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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.