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Finding the Fourth Proportional to 3,482.88, 5,217.36 and 2,246

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Solution

The fourth proportional to 3,482.88, 5,217.36 and 2,246 is: 3,364.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.88 : 5,217.36 = 2,246 : x
  2. Step 2: Convert to fraction form
    3,482.88/5,217.36 = 2,246/x
  3. Step 3: Cross multiply
    3,482.88x = 5,217.36 × 2,246
  4. Step 4: Simplify right side
    3,482.88x = 11,718,190.56
  5. Step 5: Solve for x
    x = 11,718,190.56/3,482.88
  6. Step 6: Final answer
    x = 3,364.51

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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.