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Finding the Fourth Proportional to 3,527.80, 5,289.99 and 1,062.16

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Solution

The fourth proportional to 3,527.80, 5,289.99 and 1,062.16 is: 1,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,527.80 : 5,289.99 = 1,062.16 : x
  2. Step 2: Convert to fraction form
    3,527.80/5,289.99 = 1,062.16/x
  3. Step 3: Cross multiply
    3,527.80x = 5,289.99 × 1,062.16
  4. Step 4: Simplify right side
    3,527.80x = 5,618,815.78
  5. Step 5: Solve for x
    x = 5,618,815.78/3,527.80
  6. Step 6: Final answer
    x = 1,592.73

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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.