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Finding the Fourth Proportional to 3,457.44, 4,772.64 and 2,337.84

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Solution

The fourth proportional to 3,457.44, 4,772.64 and 2,337.84 is: 3,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.44 : 4,772.64 = 2,337.84 : x
  2. Step 2: Convert to fraction form
    3,457.44/4,772.64 = 2,337.84/x
  3. Step 3: Cross multiply
    3,457.44x = 4,772.64 × 2,337.84
  4. Step 4: Simplify right side
    3,457.44x = 11,157,668.70
  5. Step 5: Solve for x
    x = 11,157,668.70/3,457.44
  6. Step 6: Final answer
    x = 3,227.15

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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.