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Finding the Fourth Proportional to 3,457.89, 4,772.52 and 2,197.94

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Solution

The fourth proportional to 3,457.89, 4,772.52 and 2,197.94 is: 3,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.89 : 4,772.52 = 2,197.94 : x
  2. Step 2: Convert to fraction form
    3,457.89/4,772.52 = 2,197.94/x
  3. Step 3: Cross multiply
    3,457.89x = 4,772.52 × 2,197.94
  4. Step 4: Simplify right side
    3,457.89x = 10,489,688.75
  5. Step 5: Solve for x
    x = 10,489,688.75/3,457.89
  6. Step 6: Final answer
    x = 3,033.55

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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.