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Finding the Fourth Proportional to 3,348.02, 5,021.94 and 1,156.97

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Solution

The fourth proportional to 3,348.02, 5,021.94 and 1,156.97 is: 1,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.02 : 5,021.94 = 1,156.97 : x
  2. Step 2: Convert to fraction form
    3,348.02/5,021.94 = 1,156.97/x
  3. Step 3: Cross multiply
    3,348.02x = 5,021.94 × 1,156.97
  4. Step 4: Simplify right side
    3,348.02x = 5,810,233.92
  5. Step 5: Solve for x
    x = 5,810,233.92/3,348.02
  6. Step 6: Final answer
    x = 1,735.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.