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Finding the Fourth Proportional to 3,738.63, 5,156.28 and 3,289.53

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Solution

The fourth proportional to 3,738.63, 5,156.28 and 3,289.53 is: 4,536.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.63 : 5,156.28 = 3,289.53 : x
  2. Step 2: Convert to fraction form
    3,738.63/5,156.28 = 3,289.53/x
  3. Step 3: Cross multiply
    3,738.63x = 5,156.28 × 3,289.53
  4. Step 4: Simplify right side
    3,738.63x = 16,961,737.75
  5. Step 5: Solve for x
    x = 16,961,737.75/3,738.63
  6. Step 6: Final answer
    x = 4,536.89

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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.