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Finding the Fourth Proportional to 5,604.65, 8,406.75 and 2,315.27

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Solution

The fourth proportional to 5,604.65, 8,406.75 and 2,315.27 is: 3,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.65 : 8,406.75 = 2,315.27 : x
  2. Step 2: Convert to fraction form
    5,604.65/8,406.75 = 2,315.27/x
  3. Step 3: Cross multiply
    5,604.65x = 8,406.75 × 2,315.27
  4. Step 4: Simplify right side
    5,604.65x = 19,463,896.07
  5. Step 5: Solve for x
    x = 19,463,896.07/5,604.65
  6. Step 6: Final answer
    x = 3,472.81

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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.