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Finding the Fourth Proportional to 3,457.68, 5,190.16 and 3,282.72

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Solution

The fourth proportional to 3,457.68, 5,190.16 and 3,282.72 is: 4,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.68 : 5,190.16 = 3,282.72 : x
  2. Step 2: Convert to fraction form
    3,457.68/5,190.16 = 3,282.72/x
  3. Step 3: Cross multiply
    3,457.68x = 5,190.16 × 3,282.72
  4. Step 4: Simplify right side
    3,457.68x = 17,037,842.04
  5. Step 5: Solve for x
    x = 17,037,842.04/3,457.68
  6. Step 6: Final answer
    x = 4,927.54

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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.