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Finding the Fourth Proportional to 5,604.50, 7,732.32 and 3,245.78

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Solution

The fourth proportional to 5,604.50, 7,732.32 and 3,245.78 is: 4,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.50 : 7,732.32 = 3,245.78 : x
  2. Step 2: Convert to fraction form
    5,604.50/7,732.32 = 3,245.78/x
  3. Step 3: Cross multiply
    5,604.50x = 7,732.32 × 3,245.78
  4. Step 4: Simplify right side
    5,604.50x = 25,097,409.61
  5. Step 5: Solve for x
    x = 25,097,409.61/5,604.50
  6. Step 6: Final answer
    x = 4,478.08

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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.