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Finding the Fourth Proportional to 4,414.85, 6,646.12 and 4,033.49

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Solution

The fourth proportional to 4,414.85, 6,646.12 and 4,033.49 is: 6,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.85 : 6,646.12 = 4,033.49 : x
  2. Step 2: Convert to fraction form
    4,414.85/6,646.12 = 4,033.49/x
  3. Step 3: Cross multiply
    4,414.85x = 6,646.12 × 4,033.49
  4. Step 4: Simplify right side
    4,414.85x = 26,807,015.24
  5. Step 5: Solve for x
    x = 26,807,015.24/4,414.85
  6. Step 6: Final answer
    x = 6,072.02

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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.