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Finding the Fourth Proportional to 4,651.88, 6,977.84 and 2,022.03

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Solution

The fourth proportional to 4,651.88, 6,977.84 and 2,022.03 is: 3,033.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.88 : 6,977.84 = 2,022.03 : x
  2. Step 2: Convert to fraction form
    4,651.88/6,977.84 = 2,022.03/x
  3. Step 3: Cross multiply
    4,651.88x = 6,977.84 × 2,022.03
  4. Step 4: Simplify right side
    4,651.88x = 14,109,391.71
  5. Step 5: Solve for x
    x = 14,109,391.71/4,651.88
  6. Step 6: Final answer
    x = 3,033.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.