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Finding the Fourth Proportional to 3,478.43, 4,798.73 and 2,301.14

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Solution

The fourth proportional to 3,478.43, 4,798.73 and 2,301.14 is: 3,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.43 : 4,798.73 = 2,301.14 : x
  2. Step 2: Convert to fraction form
    3,478.43/4,798.73 = 2,301.14/x
  3. Step 3: Cross multiply
    3,478.43x = 4,798.73 × 2,301.14
  4. Step 4: Simplify right side
    3,478.43x = 11,042,538.05
  5. Step 5: Solve for x
    x = 11,042,538.05/3,478.43
  6. Step 6: Final answer
    x = 3,174.58

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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.