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Finding the Fourth Proportional to 3,047.85, 4,207.95 and 2,732.63

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Solution

The fourth proportional to 3,047.85, 4,207.95 and 2,732.63 is: 3,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.85 : 4,207.95 = 2,732.63 : x
  2. Step 2: Convert to fraction form
    3,047.85/4,207.95 = 2,732.63/x
  3. Step 3: Cross multiply
    3,047.85x = 4,207.95 × 2,732.63
  4. Step 4: Simplify right side
    3,047.85x = 11,498,749.37
  5. Step 5: Solve for x
    x = 11,498,749.37/3,047.85
  6. Step 6: Final answer
    x = 3,772.74

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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.