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Finding the Fourth Proportional to 2,735.52, 3,800.50 and 2,702.71

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Solution

The fourth proportional to 2,735.52, 3,800.50 and 2,702.71 is: 3,754.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.52 : 3,800.50 = 2,702.71 : x
  2. Step 2: Convert to fraction form
    2,735.52/3,800.50 = 2,702.71/x
  3. Step 3: Cross multiply
    2,735.52x = 3,800.50 × 2,702.71
  4. Step 4: Simplify right side
    2,735.52x = 10,271,647.35
  5. Step 5: Solve for x
    x = 10,271,647.35/2,735.52
  6. Step 6: Final answer
    x = 3,754.92

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.