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Finding the Fourth Proportional to 5,167.06, 7,749.87 and 2,205.88

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Solution

The fourth proportional to 5,167.06, 7,749.87 and 2,205.88 is: 3,308.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.06 : 7,749.87 = 2,205.88 : x
  2. Step 2: Convert to fraction form
    5,167.06/7,749.87 = 2,205.88/x
  3. Step 3: Cross multiply
    5,167.06x = 7,749.87 × 2,205.88
  4. Step 4: Simplify right side
    5,167.06x = 17,095,283.24
  5. Step 5: Solve for x
    x = 17,095,283.24/5,167.06
  6. Step 6: Final answer
    x = 3,308.51

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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.