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Finding the Fourth Proportional to 3,638.55, 5,023.58 and 2,797.70

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Solution

The fourth proportional to 3,638.55, 5,023.58 and 2,797.70 is: 3,862.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.55 : 5,023.58 = 2,797.70 : x
  2. Step 2: Convert to fraction form
    3,638.55/5,023.58 = 2,797.70/x
  3. Step 3: Cross multiply
    3,638.55x = 5,023.58 × 2,797.70
  4. Step 4: Simplify right side
    3,638.55x = 14,054,469.77
  5. Step 5: Solve for x
    x = 14,054,469.77/3,638.55
  6. Step 6: Final answer
    x = 3,862.66

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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.