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Finding the Fourth Proportional to 3,684.56, 5,527.12 and 1,087.62

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Solution

The fourth proportional to 3,684.56, 5,527.12 and 1,087.62 is: 1,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.56 : 5,527.12 = 1,087.62 : x
  2. Step 2: Convert to fraction form
    3,684.56/5,527.12 = 1,087.62/x
  3. Step 3: Cross multiply
    3,684.56x = 5,527.12 × 1,087.62
  4. Step 4: Simplify right side
    3,684.56x = 6,011,406.25
  5. Step 5: Solve for x
    x = 6,011,406.25/3,684.56
  6. Step 6: Final answer
    x = 1,631.51

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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.