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Finding the Fourth Proportional to 5,606.94, 8,414.01 and 3,760.14

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Solution

The fourth proportional to 5,606.94, 8,414.01 and 3,760.14 is: 5,642.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.94 : 8,414.01 = 3,760.14 : x
  2. Step 2: Convert to fraction form
    5,606.94/8,414.01 = 3,760.14/x
  3. Step 3: Cross multiply
    5,606.94x = 8,414.01 × 3,760.14
  4. Step 4: Simplify right side
    5,606.94x = 31,637,855.56
  5. Step 5: Solve for x
    x = 31,637,855.56/5,606.94
  6. Step 6: Final answer
    x = 5,642.62

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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.