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Finding the Fourth Proportional to 5,489.60, 7,576.48 and 3,500.96

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Solution

The fourth proportional to 5,489.60, 7,576.48 and 3,500.96 is: 4,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.60 : 7,576.48 = 3,500.96 : x
  2. Step 2: Convert to fraction form
    5,489.60/7,576.48 = 3,500.96/x
  3. Step 3: Cross multiply
    5,489.60x = 7,576.48 × 3,500.96
  4. Step 4: Simplify right side
    5,489.60x = 26,524,953.42
  5. Step 5: Solve for x
    x = 26,524,953.42/5,489.60
  6. Step 6: Final answer
    x = 4,831.86

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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.