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Finding the Fourth Proportional to 5,712.06, 8,571.06 and 2,594.28

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Solution

The fourth proportional to 5,712.06, 8,571.06 and 2,594.28 is: 3,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.06 : 8,571.06 = 2,594.28 : x
  2. Step 2: Convert to fraction form
    5,712.06/8,571.06 = 2,594.28/x
  3. Step 3: Cross multiply
    5,712.06x = 8,571.06 × 2,594.28
  4. Step 4: Simplify right side
    5,712.06x = 22,235,729.54
  5. Step 5: Solve for x
    x = 22,235,729.54/5,712.06
  6. Step 6: Final answer
    x = 3,892.77

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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.