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Finding the Fourth Proportional to 3,354, 4,999.41 and 3,247.84

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Solution

The fourth proportional to 3,354, 4,999.41 and 3,247.84 is: 4,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,354 : 4,999.41 = 3,247.84 : x
  2. Step 2: Convert to fraction form
    3,354/4,999.41 = 3,247.84/x
  3. Step 3: Cross multiply
    3,354x = 4,999.41 × 3,247.84
  4. Step 4: Simplify right side
    3,354x = 16,237,283.77
  5. Step 5: Solve for x
    x = 16,237,283.77/3,354
  6. Step 6: Final answer
    x = 4,841.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.