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Finding the Fourth Proportional to 3,482.49, 5,214.17 and 2,246.84

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Solution

The fourth proportional to 3,482.49, 5,214.17 and 2,246.84 is: 3,364.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.49 : 5,214.17 = 2,246.84 : x
  2. Step 2: Convert to fraction form
    3,482.49/5,214.17 = 2,246.84/x
  3. Step 3: Cross multiply
    3,482.49x = 5,214.17 × 2,246.84
  4. Step 4: Simplify right side
    3,482.49x = 11,715,404.82
  5. Step 5: Solve for x
    x = 11,715,404.82/3,482.49
  6. Step 6: Final answer
    x = 3,364.08

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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.