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Finding the Fourth Proportional to 3,457.28, 4,769.51 and 2,337.80

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Solution

The fourth proportional to 3,457.28, 4,769.51 and 2,337.80 is: 3,225.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.28 : 4,769.51 = 2,337.80 : x
  2. Step 2: Convert to fraction form
    3,457.28/4,769.51 = 2,337.80/x
  3. Step 3: Cross multiply
    3,457.28x = 4,769.51 × 2,337.80
  4. Step 4: Simplify right side
    3,457.28x = 11,150,124.94
  5. Step 5: Solve for x
    x = 11,150,124.94/3,457.28
  6. Step 6: Final answer
    x = 3,225.12

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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.