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Finding the Fourth Proportional to 5,731.32, 8,596.99 and 1,571.37

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Solution

The fourth proportional to 5,731.32, 8,596.99 and 1,571.37 is: 2,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.32 : 8,596.99 = 1,571.37 : x
  2. Step 2: Convert to fraction form
    5,731.32/8,596.99 = 1,571.37/x
  3. Step 3: Cross multiply
    5,731.32x = 8,596.99 × 1,571.37
  4. Step 4: Simplify right side
    5,731.32x = 13,509,021.90
  5. Step 5: Solve for x
    x = 13,509,021.90/5,731.32
  6. Step 6: Final answer
    x = 2,357.05

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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.