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Finding the Fourth Proportional to 5,527.60, 7,628.90 and 3,289.68

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Solution

The fourth proportional to 5,527.60, 7,628.90 and 3,289.68 is: 4,540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,527.60 : 7,628.90 = 3,289.68 : x
  2. Step 2: Convert to fraction form
    5,527.60/7,628.90 = 3,289.68/x
  3. Step 3: Cross multiply
    5,527.60x = 7,628.90 × 3,289.68
  4. Step 4: Simplify right side
    5,527.60x = 25,096,639.75
  5. Step 5: Solve for x
    x = 25,096,639.75/5,527.60
  6. Step 6: Final answer
    x = 4,540.24

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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.