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Finding the Fourth Proportional to 5,731.67, 8,597.19 and 1,571.60

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Solution

The fourth proportional to 5,731.67, 8,597.19 and 1,571.60 is: 2,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.67 : 8,597.19 = 1,571.60 : x
  2. Step 2: Convert to fraction form
    5,731.67/8,597.19 = 1,571.60/x
  3. Step 3: Cross multiply
    5,731.67x = 8,597.19 × 1,571.60
  4. Step 4: Simplify right side
    5,731.67x = 13,511,343.80
  5. Step 5: Solve for x
    x = 13,511,343.80/5,731.67
  6. Step 6: Final answer
    x = 2,357.31

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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.