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Finding the Fourth Proportional to 3,457.68, 4,769.82 and 2,337.12

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Solution

The fourth proportional to 3,457.68, 4,769.82 and 2,337.12 is: 3,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.68 : 4,769.82 = 2,337.12 : x
  2. Step 2: Convert to fraction form
    3,457.68/4,769.82 = 2,337.12/x
  3. Step 3: Cross multiply
    3,457.68x = 4,769.82 × 2,337.12
  4. Step 4: Simplify right side
    3,457.68x = 11,147,641.72
  5. Step 5: Solve for x
    x = 11,147,641.72/3,457.68
  6. Step 6: Final answer
    x = 3,224.02

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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.