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Finding the Fourth Proportional to 3,473.84, 5,229.36 and 3,116.63

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Solution

The fourth proportional to 3,473.84, 5,229.36 and 3,116.63 is: 4,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.84 : 5,229.36 = 3,116.63 : x
  2. Step 2: Convert to fraction form
    3,473.84/5,229.36 = 3,116.63/x
  3. Step 3: Cross multiply
    3,473.84x = 5,229.36 × 3,116.63
  4. Step 4: Simplify right side
    3,473.84x = 16,297,954.11
  5. Step 5: Solve for x
    x = 16,297,954.11/3,473.84
  6. Step 6: Final answer
    x = 4,691.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.