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Finding the Fourth Proportional to 3,748.00, 5,134.70 and 3,607.78

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Solution

The fourth proportional to 3,748.00, 5,134.70 and 3,607.78 is: 4,942.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748.00 : 5,134.70 = 3,607.78 : x
  2. Step 2: Convert to fraction form
    3,748.00/5,134.70 = 3,607.78/x
  3. Step 3: Cross multiply
    3,748.00x = 5,134.70 × 3,607.78
  4. Step 4: Simplify right side
    3,748.00x = 18,524,842.29
  5. Step 5: Solve for x
    x = 18,524,842.29/3,748.00
  6. Step 6: Final answer
    x = 4,942.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.