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Finding the Fourth Proportional to 5,332.56, 7,998.96 and 3,142.86

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Solution

The fourth proportional to 5,332.56, 7,998.96 and 3,142.86 is: 4,714.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.56 : 7,998.96 = 3,142.86 : x
  2. Step 2: Convert to fraction form
    5,332.56/7,998.96 = 3,142.86/x
  3. Step 3: Cross multiply
    5,332.56x = 7,998.96 × 3,142.86
  4. Step 4: Simplify right side
    5,332.56x = 25,139,611.43
  5. Step 5: Solve for x
    x = 25,139,611.43/5,332.56
  6. Step 6: Final answer
    x = 4,714.36

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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.