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Finding the Fourth Proportional to 3,546.84, 5,319.54 and 3,371.22

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Solution

The fourth proportional to 3,546.84, 5,319.54 and 3,371.22 is: 5,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.84 : 5,319.54 = 3,371.22 : x
  2. Step 2: Convert to fraction form
    3,546.84/5,319.54 = 3,371.22/x
  3. Step 3: Cross multiply
    3,546.84x = 5,319.54 × 3,371.22
  4. Step 4: Simplify right side
    3,546.84x = 17,933,339.64
  5. Step 5: Solve for x
    x = 17,933,339.64/3,546.84
  6. Step 6: Final answer
    x = 5,056.15

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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.