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Finding the Fourth Proportional to 5,669.31, 8,504.01 and 1,971.57

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Solution

The fourth proportional to 5,669.31, 8,504.01 and 1,971.57 is: 2,957.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.31 : 8,504.01 = 1,971.57 : x
  2. Step 2: Convert to fraction form
    5,669.31/8,504.01 = 1,971.57/x
  3. Step 3: Cross multiply
    5,669.31x = 8,504.01 × 1,971.57
  4. Step 4: Simplify right side
    5,669.31x = 16,766,251.00
  5. Step 5: Solve for x
    x = 16,766,251.00/5,669.31
  6. Step 6: Final answer
    x = 2,957.37

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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.