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Finding the Fourth Proportional to 5,271.31, 7,906.97 and 1,808.59

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Solution

The fourth proportional to 5,271.31, 7,906.97 and 1,808.59 is: 2,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.31 : 7,906.97 = 1,808.59 : x
  2. Step 2: Convert to fraction form
    5,271.31/7,906.97 = 1,808.59/x
  3. Step 3: Cross multiply
    5,271.31x = 7,906.97 × 1,808.59
  4. Step 4: Simplify right side
    5,271.31x = 14,300,466.87
  5. Step 5: Solve for x
    x = 14,300,466.87/5,271.31
  6. Step 6: Final answer
    x = 2,712.89

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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.