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Finding the Fourth Proportional to 3,855.66, 5,328.99 and 3,400.62

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Solution

The fourth proportional to 3,855.66, 5,328.99 and 3,400.62 is: 4,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.66 : 5,328.99 = 3,400.62 : x
  2. Step 2: Convert to fraction form
    3,855.66/5,328.99 = 3,400.62/x
  3. Step 3: Cross multiply
    3,855.66x = 5,328.99 × 3,400.62
  4. Step 4: Simplify right side
    3,855.66x = 18,121,869.97
  5. Step 5: Solve for x
    x = 18,121,869.97/3,855.66
  6. Step 6: Final answer
    x = 4,700.07

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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.