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Finding the Fourth Proportional to 5,282.70, 7,911.09 and 3,546.06

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Solution

The fourth proportional to 5,282.70, 7,911.09 and 3,546.06 is: 5,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,282.70 : 7,911.09 = 3,546.06 : x
  2. Step 2: Convert to fraction form
    5,282.70/7,911.09 = 3,546.06/x
  3. Step 3: Cross multiply
    5,282.70x = 7,911.09 × 3,546.06
  4. Step 4: Simplify right side
    5,282.70x = 28,053,199.81
  5. Step 5: Solve for x
    x = 28,053,199.81/5,282.70
  6. Step 6: Final answer
    x = 5,310.39

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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.