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Finding the Fourth Proportional to 5,723.64, 8,582.82 and 2,435.64

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Solution

The fourth proportional to 5,723.64, 8,582.82 and 2,435.64 is: 3,652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.64 : 8,582.82 = 2,435.64 : x
  2. Step 2: Convert to fraction form
    5,723.64/8,582.82 = 2,435.64/x
  3. Step 3: Cross multiply
    5,723.64x = 8,582.82 × 2,435.64
  4. Step 4: Simplify right side
    5,723.64x = 20,904,659.70
  5. Step 5: Solve for x
    x = 20,904,659.70/5,723.64
  6. Step 6: Final answer
    x = 3,652.34

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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.