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Finding the Fourth Proportional to 3,457.62, 4,771.71 and 3,224.34

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Solution

The fourth proportional to 3,457.62, 4,771.71 and 3,224.34 is: 4,449.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.62 : 4,771.71 = 3,224.34 : x
  2. Step 2: Convert to fraction form
    3,457.62/4,771.71 = 3,224.34/x
  3. Step 3: Cross multiply
    3,457.62x = 4,771.71 × 3,224.34
  4. Step 4: Simplify right side
    3,457.62x = 15,385,615.42
  5. Step 5: Solve for x
    x = 15,385,615.42/3,457.62
  6. Step 6: Final answer
    x = 4,449.77

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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.