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Finding the Fourth Proportional to 4,604.26, 6,354.06 and 2,742.34

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Solution

The fourth proportional to 4,604.26, 6,354.06 and 2,742.34 is: 3,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.26 : 6,354.06 = 2,742.34 : x
  2. Step 2: Convert to fraction form
    4,604.26/6,354.06 = 2,742.34/x
  3. Step 3: Cross multiply
    4,604.26x = 6,354.06 × 2,742.34
  4. Step 4: Simplify right side
    4,604.26x = 17,424,992.90
  5. Step 5: Solve for x
    x = 17,424,992.90/4,604.26
  6. Step 6: Final answer
    x = 3,784.54

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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.