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Finding the Fourth Proportional to 3,683.91, 5,502.43 and 3,165.42

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Solution

The fourth proportional to 3,683.91, 5,502.43 and 3,165.42 is: 4,727.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.91 : 5,502.43 = 3,165.42 : x
  2. Step 2: Convert to fraction form
    3,683.91/5,502.43 = 3,165.42/x
  3. Step 3: Cross multiply
    3,683.91x = 5,502.43 × 3,165.42
  4. Step 4: Simplify right side
    3,683.91x = 17,417,501.97
  5. Step 5: Solve for x
    x = 17,417,501.97/3,683.91
  6. Step 6: Final answer
    x = 4,727.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.