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Finding the Fourth Proportional to 5,712.86, 8,571.42 and 2,428.52

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Solution

The fourth proportional to 5,712.86, 8,571.42 and 2,428.52 is: 3,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.86 : 8,571.42 = 2,428.52 : x
  2. Step 2: Convert to fraction form
    5,712.86/8,571.42 = 2,428.52/x
  3. Step 3: Cross multiply
    5,712.86x = 8,571.42 × 2,428.52
  4. Step 4: Simplify right side
    5,712.86x = 20,815,822.04
  5. Step 5: Solve for x
    x = 20,815,822.04/5,712.86
  6. Step 6: Final answer
    x = 3,643.68

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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.