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Finding the Fourth Proportional to 5,174.71, 7,136.13 and 3,477.05

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Solution

The fourth proportional to 5,174.71, 7,136.13 and 3,477.05 is: 4,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.71 : 7,136.13 = 3,477.05 : x
  2. Step 2: Convert to fraction form
    5,174.71/7,136.13 = 3,477.05/x
  3. Step 3: Cross multiply
    5,174.71x = 7,136.13 × 3,477.05
  4. Step 4: Simplify right side
    5,174.71x = 24,812,684.94
  5. Step 5: Solve for x
    x = 24,812,684.94/5,174.71
  6. Step 6: Final answer
    x = 4,794.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.