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Finding the Fourth Proportional to 4,033.84, 6,048.82 and 3,154.12

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Solution

The fourth proportional to 4,033.84, 6,048.82 and 3,154.12 is: 4,729.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,033.84 : 6,048.82 = 3,154.12 : x
  2. Step 2: Convert to fraction form
    4,033.84/6,048.82 = 3,154.12/x
  3. Step 3: Cross multiply
    4,033.84x = 6,048.82 × 3,154.12
  4. Step 4: Simplify right side
    4,033.84x = 19,078,704.14
  5. Step 5: Solve for x
    x = 19,078,704.14/4,033.84
  6. Step 6: Final answer
    x = 4,729.66

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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.