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Finding the Fourth Proportional to 4,542.97, 6,269.64 and 2,774.92

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Solution

The fourth proportional to 4,542.97, 6,269.64 and 2,774.92 is: 3,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.97 : 6,269.64 = 2,774.92 : x
  2. Step 2: Convert to fraction form
    4,542.97/6,269.64 = 2,774.92/x
  3. Step 3: Cross multiply
    4,542.97x = 6,269.64 × 2,774.92
  4. Step 4: Simplify right side
    4,542.97x = 17,397,749.43
  5. Step 5: Solve for x
    x = 17,397,749.43/4,542.97
  6. Step 6: Final answer
    x = 3,829.60

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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.