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Finding the Fourth Proportional to 3,289.76, 4,536.46 and 2,543.84

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Solution

The fourth proportional to 3,289.76, 4,536.46 and 2,543.84 is: 3,507.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.76 : 4,536.46 = 2,543.84 : x
  2. Step 2: Convert to fraction form
    3,289.76/4,536.46 = 2,543.84/x
  3. Step 3: Cross multiply
    3,289.76x = 4,536.46 × 2,543.84
  4. Step 4: Simplify right side
    3,289.76x = 11,540,028.41
  5. Step 5: Solve for x
    x = 11,540,028.41/3,289.76
  6. Step 6: Final answer
    x = 3,507.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.