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Finding the Fourth Proportional to 3,849.88, 5,735.09 and 3,610.84

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Solution

The fourth proportional to 3,849.88, 5,735.09 and 3,610.84 is: 5,379.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.88 : 5,735.09 = 3,610.84 : x
  2. Step 2: Convert to fraction form
    3,849.88/5,735.09 = 3,610.84/x
  3. Step 3: Cross multiply
    3,849.88x = 5,735.09 × 3,610.84
  4. Step 4: Simplify right side
    3,849.88x = 20,708,492.38
  5. Step 5: Solve for x
    x = 20,708,492.38/3,849.88
  6. Step 6: Final answer
    x = 5,379.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.