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Finding the Fourth Proportional to 3,457.69, 5,173.55 and 3,270.13

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Solution

The fourth proportional to 3,457.69, 5,173.55 and 3,270.13 is: 4,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.69 : 5,173.55 = 3,270.13 : x
  2. Step 2: Convert to fraction form
    3,457.69/5,173.55 = 3,270.13/x
  3. Step 3: Cross multiply
    3,457.69x = 5,173.55 × 3,270.13
  4. Step 4: Simplify right side
    3,457.69x = 16,918,164.04
  5. Step 5: Solve for x
    x = 16,918,164.04/3,457.69
  6. Step 6: Final answer
    x = 4,892.91

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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.