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Finding the Fourth Proportional to 3,606.99, 5,410.67 and 1,527.09

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Solution

The fourth proportional to 3,606.99, 5,410.67 and 1,527.09 is: 2,290.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.99 : 5,410.67 = 1,527.09 : x
  2. Step 2: Convert to fraction form
    3,606.99/5,410.67 = 1,527.09/x
  3. Step 3: Cross multiply
    3,606.99x = 5,410.67 × 1,527.09
  4. Step 4: Simplify right side
    3,606.99x = 8,262,572.41
  5. Step 5: Solve for x
    x = 8,262,572.41/3,606.99
  6. Step 6: Final answer
    x = 2,290.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.