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Finding the Fourth Proportional to 5,146.87, 7,105.14 and 3,448.30

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Solution

The fourth proportional to 5,146.87, 7,105.14 and 3,448.30 is: 4,760.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.87 : 7,105.14 = 3,448.30 : x
  2. Step 2: Convert to fraction form
    5,146.87/7,105.14 = 3,448.30/x
  3. Step 3: Cross multiply
    5,146.87x = 7,105.14 × 3,448.30
  4. Step 4: Simplify right side
    5,146.87x = 24,500,654.26
  5. Step 5: Solve for x
    x = 24,500,654.26/5,146.87
  6. Step 6: Final answer
    x = 4,760.30

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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.